Bayesian Logistic Regression - Application in Probability Prediction of disease (Diabetes)

CapStone Project_2025

Author

Namita Mishra (Advisor: Dr. Ashraf Cohen)

Published

September 29, 2025

Slides: slides.html ( Go to slides.qmd to edit)


Introduction

Diabetes Mellitus (DM) is a major public health challenge and predictors (risk factors) such as obesity, Age, and race and gender contribute to developing diabetes. Identifying predictors help in prevention and targeted intervention. Logistic regression is the standard statistical tool used to estimate the association between risk factors and binary outcomes, such as the presence or absence of diabetes. However, classical maximum likelihood estimation (MLE) can be unstable when there are small sample sizes, missing data, or situations of quasi- or complete separation in the data.

Healthcare data are complex, and the standard approaches to analyze them are not adequate (Zeger?) et al. (2020). They include DNA sequences, functional images of the brain, patient-reported outcomes, and electronic health records (EHR), survey records, sequences of health measurements, diagnoses, and treatments. The authors (Zeger?) et al. (2020) conducted Bayesian Hierarchical Model and MCMC, by combining prior knowledge and patient data (EHR) to predict the patient’s health status, trajectory, and/or likely benefits of intervention and using multivariate longitudinal patient data using R-packages to develop two-levels (1)time within person and (2) persons within a population and added co-variates (Exogenous: Age, clinical history and Endogenous:current treatment) on the individual’s multivariate health measurements. The model provided posterior distribution and an estimate of the marginal distribution of the regression coefficients by integration of Markov chain Monte Carlo (MCMC) and identified low-risk patient population with pneumonia etiology (children), prostate cancer, and mental disorders. Because it was entirely parametric (model limitations), an extensions to nonparametric or more flexible parametric models was recommended.

Bayesian Inference (parametric vs non-parametric) study conducted by Chatzimichail and Hatjimihail (2023) calculated the posterior probability of disease diagnosis by applying Bayesian inference in two modules comparing parametric (with a fixed set of parameters) and nonparametric distributions (which do not make a priori assumptions) on National Health and Nutrition Examination Survey data from two separate diagnostic tests on both diseased and non-diseased populations. They mentioned conventional methods based on clinical criteria and fixed numerical thresholds limit the information captured on the intricate relationship between diagnostic tests and the varying prevalence of diseases. The probability distributions associated with the outcomes overlap between the diseased and nondiseased groups.The dichotomous method fails to capture the complexity and heterogeneity of disease presentations across diverse populations. The applicability of the normal distribution (conventional method) is critiqued in dealing with skewness, bimodality, or multimodality and mentioned Bayesian nonparametric (vs parametric) diagnostic modeling as a Flexible distributional modeling for test outcomes (posterior disease probabilities). The Bayesian inference for posterior probability calculation using Wolfram Language and integration of prior probabilities distributions in both diseased and nondiseased populations enabled the evaluation of the combined data from multiple diagnostic tests with improved diagnostic accuracy, precision, and adaptability. The model showed flexibility, adaptability, and versatility in the diagnostic. They found Nonparametric Bayesian models a better fit for data distributions given the limited existing literature. Model was reported robust in capturing complex data patterns, producing multimodal probability patterns for disease, unlike the bimodal, double-sigmoidal curves seen with parametric models. The study limitations is the reliance on parametric models, limited scholarly publications and over-dependence on prior probabilities increase the uncertainties, resulting in broader confidence intervals for posterior probabilities. They mentioned systemic bias (unrepresentative datasets), incomplete datasets and absence of normative data compromises the accuracy of results, reliability and validity of Bayesian diagnostic methods and that combined with other statistical and computational techniques could enhance diagnostic capabilities, Chatzimichail and Hatjimihail (2023)

To understand the Bayesian methodology an overview (stages, development and advantages) by Schoot et al. (2021) specify the importance of the priors, data modeling, inferences, model checking and refinement, selecting a proper sampling technique from a posterior distribution, variational inferences, variable selection, and its application across various research fields. They applied Bayesian statistics across different fields (social sciences, ecology, genetics, medicine) in observed and unobserved parameters. They emphasize variable selection as a process of identifying the sub-set of predictors to include in a model especially where a large number of potential predictors are available. Unnecessary variables present issues such as multicollinearity, insufficient samples, overfitting the current data leading to poor predictive performance on new data making model interpretation difficult. Variables selection is best after checking correlations among the variables in the model (Eg: gene-to-gene interaction to predict genes in biomedical research).

Considering small sample size, Bayesian estimation with mildly informative priors is often. Based on the degree of (un)certainty (hyperparameters) surrounding the population parameter priors (informative, weakly informative and diffuse), prior distribution with a larger variance represents a greater amount of uncertainty. Prior elicitation could be through different ways (experts, generic expert, data-based, sample data using maximum likelihood or sample statistics). A prior sensitivity analysis of the likelihood that examines different forms of the model could assess how the priors and the likelihood align and impact on posterior estimates, reflecting variations not captured by the prior or the likelihood alone. Prior estimation allows data-informed shrinkage, regularization or influence algorithms towards a likely high-density region, and improves estimation efficiency. In a small sample i.e. less information, incorporation of priors strengthens the observed data and lends possible value(s) for the unknown parameter(s). To know probabilistic specification of the priors for a complex model with smaller sample sizes is important. In Bayesian inference, unknown parameters (random variables) have varied values, while the (observed) data have fixed values. The likelihood is a function of θ for the fixed data y. The likelihood function summarizes a statistical model that stochastically generates a range of possible values for θ and the observed data y. With priors and the likelihood of the observed data, the resulting posterior distribution provides an estimate of the unknown parameters, capture primary factors to improve our understanding. Monte Carlo technique provides integrals of sampled values from a given distribution through computer simulations. The packages BRMS and Blavaan in R are used for the probabilistic programming language Stan. MCMC algorithm only requires the probability distribution of interest to be specified up to a constant of proportionality and is scalable to high dimensions to obtain empirical estimates of the posterior distribution of interest. Bayesian inference adopts a simulation-based strategy for approximating posterior distributions.Frequentists do not consider the probability of the unknown parameters and consider to be fixed and likelihood is considered as the the conditional probability distribution p(y|θ) of the data (y), given fixed parameters (θ). Spatial and temporal variability are factored in Bayesian general linear models. A posterior distribution can simulate new data conditional on this distribution and assess, to providing valid predictions. The Bayesian approach in analyzing large-scale cancer genomic data, identifies novel molecular changes in cancer initiation and progression, the interactions between mutated genes, captured mutational signatures, key genetic interactions components, allow genomic-based patient stratification (clinical trials, personalized use of therapeutics) and in understanding cancer evolutionary processes. The mentioned the model reproducibility, reporting standards, and outlined a checklist. Limitations were related to the dependencies (autocorrelation of parameters over time in temporal model) and the subjectivity issue of priors.

The study by Klauenberg et al. (2015) emphasizes prior elicitation, analytical posteriors, robustness checks through guidance provided on Bayesian inference by performing Bayesian Normal linear regression, Core parametric (conjugate)model with Normal–Inverse-Gamma prior in metrology to calibrate instruments to evaluate inter-laboratory comparisons in determining fundamental constants.

In gaussian- Errors are independent and identically distributed, variance is unknown and is estimated from data, the relationship between X and Y is statistical, with noise and model uncertainty and the regression can not be treated as a measurement function . They mentioned statistical approaches (likelihood, Bayesian, bootstrap, etc.) could quantify uncertainty since Guide to the Expression of Uncertainty in Measurement (GUM) and its supplements are not applicable directly. They emphasized Bayesian inference that accounts for a priori information, and robustifies the analyses through steps including prior elicitation, posterior calculation, and robustness to prior uncertainty and model adequacy for the model development and about assumptions critical to Bayesian inference.

In Bayesian, unknowns such as (observables: data and unobservables: parameters and auxiliary variables) are random, are assigned probability distributions of the available information, and update prior knowledge about the unobservables with information about them contained in the data. The graphical representation of prior distribution and likelihood function, sensitivity analyses, or model checking enhances the elicitation and interpretation process.

For Normal linear regression (1) Normal inverse Gamma (NIG) distribution to a posterior is from the same family of (NIG) distribution. The NIG prior with known variance σ2 of observations is a conjugate prior distribution. Vague or non-informative prior distributions can be derived from NIG prior (2) alternative families (hierarchical priors) assign an additional layer of distributions to uncertain prior parameters or non-parametricriors.

Bayesian inference is influenced by - the uncertainty in the transformation of prior knowledge to prior distributions - the assumptions of the statistical model - the mistakes in data acquisition

Bayesian Hierarchical / meta-analytic linear regression model (DeLeeuw2012?) was developed to test of a formal method for augmenting data in linear regression analyses, by incorporating both exchangeable and unexchangeable information on regression coefficients (and standard errors) of previous studies.

The issue of multiple testing resulting in relatively low statistical power was highlighted which is problematic in null-hypothesis significance testing and highlighted that separate significance tests conducted for all regression coefficients, with the modest sample sizes, in different studies with different sets of statistically significant predictors, and addressing larger samples is practically unrealistic. In Linear regression analyses that do not account summary statistics from similar previous studies is affected in proving stability and precision of the parameter estimates. Lower estimate values are less certain and are affected by sampling variation.

Overcoming the issue of absence of formal studies, the study incorporated prior knowledge in Bayesian regression, to handle issues of increasing the sample size and they augmented the data of a new study incorporated priors on regression coefficients and standard errors from previous similar studies to solve the issue of the univariate case analysis and the issue of simultaneously combining multiple regression parameters per study, which ignore the relationship between the regression coefficients.

Bayesian linear regression by incorporating the evidence of specific predictors from different linear regression analyses (meta-analysis) provided a more acceptable solution to when previous study data are not (realistically) obtainable.

They emphasized - on information on predictors, based on the information on predictors from both previous and current data, the models are categorized into (1) Exchangable - when the current data and previous studies have the same set of predictors. (2) Unexchangable – when the predictors differ in the two studies.

  • Probability density function, likelihood function
  1. calculate the probability density function for the data, given the unknown model parameters; using the Gibbs sampler.
  2. The likelihood function - that quantifies what is assumed to be known about the model parameters before observing the data.

A hierarchical model analyze parameters where studies are not-exchangeable. They found incorporating priors in a linear regression on new data yield a significantly better parameter estimate with an adequate approximation, encouraging performance gains and the large effects. Performance of the two versions (exchangeable and unexchangeable) of the replication model was consistently superior to using the current data alone.

The model offers better parameter estimates in a linear regression setting without expending time and energy to obtain data from the previous studies. Hierarchical unexchangeable model offers the advantage as it can address differences between studies and allows for explicit testing of the exchangeability assumption. Limitations is to have same set of predictors and the correlation issue between predictor variables. Leeuw and Klugkist (2012)

Bayesian logistic regression (Bayesian GLM) (Sequential clinical reasoning approach) model conducted on a longitudinal prospective cohort predicted the risk of incident cardiovascular disease by developing 3 models based on features added as predictor: (1) demographic features (basic model) (2) six metabolic syndrome components (metabolic score model) (3) conventional risk factors (enhanced model). The method used is Logistic Regression with incorporating priors on coefficients and sequential updating to predict individual-level CVD risk. The authors Liu et al. (2013) developed the model to overcome limited availability of molecular information in clinical practice (high cost and unavailability) that affected efficient disease diagnosis. They mention Sequential clinical reasoning approach) model is an alternative approach to analyze data to efficiently identify a high-risk population based on the routinely checked biological markers before doing these expensive molecular tests.

Model such as Framingham Risk Score method are insufficient because of Heterogeneity (geographic, ethnic group, variations, and social contextual network) observed in the data which is unobservable and unmeasurable and required construction of separate models.

Sequential clinical reasoning approach analyzed subjects enrolled in a screening program (20–79 years) in the Keelung city of Taiwan, followed for 5 years and classified incident cancers and chronic diseases (cardiovascular disease) by incorporating (1) standardized risk score (MetS: fasting glucose, blood pressure, HDL-C, triglyceride and waist circumference) (2) risk factors: gender, heredity, smoking, etc.

The methodology develop three models based on sequential manner that emulated a clinician’s evaluation process. The model considered the normal distribution of regression coefficients of all predictors, allowing for uncertainty of clinical weights and the credible intervals of predicted risk estimates were averaged. The individual risk is elicited by prior speculation (first impression) that is updated by objective observed data (patient’s history and laboratory findings). Regression coefficients for computing risk score were treated as random variable with normal distribution rather than a fixed value (traditional risk prediction model by frequentist). The updated prior distribution with the likelihood of the current data provided a posterior distribution to predict the risk for a specific disease.

The enhanced model showed better performance where conventional risk factors were incorporated. Patients’ background contributed significantly to baseline risk. Even with ecological heterogeneity, the regression model adopted individual characteristics and made individual risk prediction for the CVD incidence. The limitation of the model mentions the interactions between predictors and cross-validated through external validation by applying the proposed models to new subjects not included in the training of the model parameters.

Bayesian Multiple Imputation and Logistic regression was conducted by Austin et al. (2021) on missing data, from clinical research. They mentioned missing values are not measured or recorded for all subjects are due to varied reasons: (i) patient refusal to respond to specific questions (ii) loss of patient to follow-up; (iii)investigator or mechanical error (iv) physicians not ordering certain investigationsfor some patients. The study emphasizes on understanding the type of missing data (MAR, MNAR, MCAR). Multiple imputation (MI) address missing data, provides multiple plausible values for missing values of a given variable resulting in creation of multiple completed data sets, conducts identical statistical analyses on each completed data sets, and the pooled results from across complete data sets, are then analyzed. The study conducted MI, mentioning steps in implementation and development, emphasized on the number of imputed data sets and addressed on creating and derived variables. MI was applied missing data using (R, SAS, and Stata) to analyze patients with heart failure to estimate the probability of 1-year mortality. Austin et al. (2021).

Our study aims to apply Bayesian logistic regression on a dataset with quasi-separation and missing values with the resultant small sample size. It is a retrospective study to analyze NHANES survey data collected between 2013-2014 aimed to predict diabetes status based on predictors (body mass index (BMI), Age, gender, and race). Our data exploration initially showed 9813 observations and selected 5 variables, later on complete case analysis and listwise deletion of missing data, the effective sample size was reduced. Since, small sample size and quasi-separation with implausibly large coefficients and unstable estimates is as a challenge for traditional logistic regression models, motivated us to apply multiple imputation (MICE) and Bayesian logistic regression to provide a flexible framework for modeling uncertainty and incorporating prior knowledge and avoiding the issue of separation and small dataset.

Method and Data Preparation

Statistical Tool used is R, R packages, and libraries to import, manage and analyze the data. Data collected is from NHANES 2-year cross-sectional data (2013-2014 year) using 3 datasets (demographics, exam, questionnaire) Center for Health Statistics (1999). Using haven package .XPT files were imported in r-studio modified to dataframe (df).

Code
# loading packages 
options(repos = c(CRAN = "https://cloud.r-project.org"))
install.packages("nhanesA")
library ("nhanesA")    

library(tidyverse)
library(knitr)
library(ggthemes)
library(ggrepel)
library(dslabs)
library(Hmisc)
library(dplyr)
library(tidyr)
library(forcats)
library(ggplot2)

library(classpackage)
library(janitor)
install.packages("gt")   
library(gt)
library(survey)
library(DataExplorer)
library(logistf)

Data Management

Subsets created from the original weighted 3 datasets (demographics, exam, questionnaire) were merged into a single dataframe for analysis and exploration. The merged dataframe included selected variables of interest, was cleaned, variables categorized, and recoded and analyzed. Basic statistics, anamolies and patterns reported before running Bayesian regression. Final dataset included weighted means of all selected variables of interest. Below tabel describes the details of all variable in the data.

  1. Response Variable (Binary, Diabetes) was defined as - “Is there one Dr you see for diabetes”

  2. Predictor Variables (Body Mass Index, factor, 4 levels)

    The original data has BMDBMIC (measured BMI) as categorical and had no missing values. It (BMI) has the following 4 levels:
    o Underweight (<5th percentile)
    o Normal (5th–<85th)
    o Overweight (85th–<95th) o Obese (≥95th percentile)
    o Missing We kept it as it is as categorization provides clinically interpretable groups

  3. Covariates:

  • Gender (factor, 2 levels): Male: Female
  • Ethnicity (factor, 5 levels): Mexican American, Non-Hispanic, White Non-Hispanic, Black Other Hispanic, Other Race - Including Multi-Racial
  • Age (num, continuous)
Code
library(gt)
# formation of table with variable details

variables <- c("ID",       "BMI" ,     "Age",      "Gender" ,  "Race",     "PSU",      "Strata",   "Weight" ,  "Diabetes")
df <- data.frame(Variable = variables, Description = descriptions <- c("Respondent sequence number", 
        "BMI calculated as weight in kilograms divided by height in meters squared, and then rounded to one decimal place.", 
                  "Age in years of the participant at the time of screening. Individuals 80 and over are topcoded at 80 years of Age.", 
                  "Gender", 
                  "Race/ethnicity Recode of reported race and Hispanic origin information", 
                  "Sample PSU", 
                  "Sample strata", 
                  "MEC exam weight", 
                  "Diabetes status Is there one doctor or other health professional {you usually see/SP usually sees} for {your/his/her} diabetes? Do not include specialists to whom {you have/SP has} been referred such as diabetes educators, dieticians or foot and eye doctors."))
df %>%
  gt %>%
  tab_header(
    title = "Table Variable Description"
  ) %>%
  tab_footnote(
    footnote = "Each variable in the dataset, accompanied by a qualitative description from the study team."
  )
Table Variable Description
Variable Description
ID Respondent sequence number
BMI BMI calculated as weight in kilograms divided by height in meters squared, and then rounded to one decimal place.
Age Age in years of the participant at the time of screening. Individuals 80 and over are topcoded at 80 years of Age.
Gender Gender
Race Race/ethnicity Recode of reported race and Hispanic origin information
PSU Sample PSU
Strata Sample strata
Weight MEC exam weight
Diabetes Diabetes status Is there one doctor or other health professional {you usually see/SP usually sees} for {your/his/her} diabetes? Do not include specialists to whom {you have/SP has} been referred such as diabetes educators, dieticians or foot and eye doctors.
Each variable in the dataset, accompanied by a qualitative description from the study team.

The data structure, a plot of the data and the breakdownof the missingness is presented

Code
# weighted means of each variable                       
str(merged_data)
'data.frame':   9813 obs. of  9 variables:
 $ ID      : num  73557 73558 73559 73560 73561 ...
 $ BMI     : Factor w/ 4 levels "Underweight",..: NA NA NA 2 NA NA NA NA NA NA ...
 $ Age     : num  69 54 72 9 73 56 0 61 56 65 ...
 $ Gender  : Factor w/ 2 levels "Male","Female": 1 1 1 1 2 1 1 2 2 1 ...
 $ Race    : Factor w/ 5 levels "Mexican American",..: 4 3 3 3 3 1 3 3 3 3 ...
 $ PSU     : num  1 1 1 2 2 1 1 1 1 2 ...
 $ Strata  : num  112 108 109 109 116 111 105 114 112 112 ...
 $ Weight  : num  13481 24472 57193 55767 65542 ...
 $ Diabetes: Factor w/ 2 levels "Yes","No": 1 1 2 NA NA NA NA NA NA NA ...
Code
plot_str(merged_data)
introduce(merged_data)
  rows columns discrete_columns continuous_columns all_missing_columns
1 9813       9                4                  5                   0
  total_missing_values complete_rows total_observations memory_usage
1                15381            14              88317       554872
Code
plot_intro(merged_data, title="Figure 1 (Merged dataset). Structure of variables and missing observations.")

Code
plot_missing(merged_data, title="Figure 2(Merged dataset). Breakdown of missing observations.")

  • Raw Data Exploration and Visualization

  • Most cases are non-hispanic whites.

  • Of those who reported their diabetes status, shows more counts reported having diabetes.

  • Genders are relatively evenly distributed.

  • Majority population were in the normal range of BMI

  • Histograms (Figure 5) shows frequency distributions for Age, with slight right skewness.

Code
# Correct survey design
nhanes_design <- svydesign(
  id = ~PSU,        # primary sampling unit
  strata = ~Strata, # stratification variable
  weights = ~Weight,# survey weights
  data = merged_data,
  nest = TRUE
)

# Weighted proportion of Diabetes
svymean(~Diabetes, design = nhanes_design, na.rm = TRUE)
               mean    SE
DiabetesYes 0.78759 0.021
DiabetesNo  0.21241 0.021
Code
svymean(~Age , design = nhanes_design, na.rm = TRUE)
      mean     SE
Age 37.504 0.4412
Code
svymean(~BMI, design = nhanes_design, na.rm = TRUE)
                     mean     SE
BMIUnderweight   0.037703 0.0037
BMINormal weight 0.628530 0.0120
BMIOverweight    0.162217 0.0056
BMIObese         0.171551 0.0109
Code
svymean(~Gender, design = nhanes_design, na.rm = TRUE)
                mean     SE
GenderMale   0.48861 0.0065
GenderFemale 0.51139 0.0065
Code
svymean(~Race, design = nhanes_design, na.rm = TRUE)
                                            mean     SE
RaceMexican American                    0.110450 0.0199
RaceOther Hispanic                      0.060637 0.0106
RaceNon-Hispanic White                  0.622315 0.0365
RaceNon-Hispanic Black                  0.120895 0.0173
RaceOther Race - Including Multi-Racial 0.085704 0.0076

Using library(survey), we extracts the weighted means and sd of variables from the data having 9813 observations.

Explain your data preprocessing and cleaning steps.

  • Special codes in the survey are not random and cannot be dropped. Since it could introduce bias as the informative missingness if ignored (MAR or MNAR). They were transformed into NAs (based on the variable codebook). All NAs were included in the analysis, since, R automatically excludes rows with NA during during regression.
  • We conducted linear regression lm (), and (listwise deletion or complete case analysis) resulted in a reduced sample size (n=14).
  • We observed quasi-separation (warning) on our dataset.
  • The results all NAs removed and the breakdown of the missingness are presented below
  • Descriptive statistics (counts, frequencies, proportions, mean and sd ). Visualization of each variable and the proportions of variable/s are presented here.
  • Below are shown frequency plots for both continuous and categorical variables
  • A tabular view of counts, proprtions of all variables id created
Code
library(dplyr)
library(knitr)


# 1. continuous variable summary
cont_summary <- merged_data %>%
  summarise(
    Mean = round(mean(Age, na.rm = TRUE), 2),
    SD   = round(sd(Age, na.rm = TRUE), 2),
    Min  = min(Age, na.rm = TRUE),
    Max  = max(Age, na.rm = TRUE)
  ) %>%
  mutate(
    Variable = "Age",
    Category = "Continuous",
    Count = nrow(merged_data) - sum(is.na(merged_data$Age)),
    Proportion = NA
  ) %>%
  select(Variable, Category, Count, Proportion, Mean, SD, Min, Max)

# 2. categorical variables
cat_summary <- function(df, var, name) {
  df %>%
    count({{var}}) %>%
    mutate(
      Proportion = round(n / sum(n), 3),
      Variable = name,
      Mean = NA, SD = NA, Min = NA, Max = NA
    ) %>%
    rename(Category = {{var}}, Count = n) %>%
    select(Variable, Category, Count, Proportion, Mean, SD, Min, Max)
}

# 3. summaries for categorical variables
gender_summary <- cat_summary(merged_data, Gender, "Gender")
BMI_summary    <- cat_summary(merged_data, BMI, "BMI Category")
race_summary   <- cat_summary(merged_data, Race, "Race")
diab_summary   <- cat_summary(merged_data, Diabetes, "Diabetes")

# 4. combine all into one table
final_table <- bind_rows(
  cont_summary,
  gender_summary,
  BMI_summary,
  race_summary,
  diab_summary
)

# 5. display as a table
kable(final_table, caption = "Table 1. Descriptive Statistics of Study Variables")
Table 1. Descriptive Statistics of Study Variables
Variable Category Count Proportion Mean SD Min Max
Age Continuous 9813 NA 31.63 24.4 0 80
Gender Male 4831 0.492 NA NA NA NA
Gender Female 4982 0.508 NA NA NA NA
BMI Category Underweight 132 0.013 NA NA NA NA
BMI Category Normal weight 2167 0.221 NA NA NA NA
BMI Category Overweight 595 0.061 NA NA NA NA
BMI Category Obese 629 0.064 NA NA NA NA
BMI Category NA 6290 0.641 NA NA NA NA
Race Mexican American 1685 0.172 NA NA NA NA
Race Other Hispanic 930 0.095 NA NA NA NA
Race Non-Hispanic White 3538 0.361 NA NA NA NA
Race Non-Hispanic Black 2198 0.224 NA NA NA NA
Race Other Race - Including Multi-Racial 1462 0.149 NA NA NA NA
Diabetes Yes 553 0.056 NA NA NA NA
Diabetes No 169 0.017 NA NA NA NA
Diabetes NA 9091 0.926 NA NA NA NA
Code
library(gt)

# Cross-tabulation: Diabetes vs BMI
tab1 <- table(merged_data$Diabetes, merged_data$BMI, useNA = "ifany")
prop.table(tab1) * 100  # overall percentages
      
       Underweight Normal weight  Overweight       Obese        <NA>
  Yes   0.00000000    0.05095282  0.03057169  0.02038113  5.53347600
  No    0.00000000    0.02038113  0.02038113  0.00000000  1.68144298
  <NA>  1.34515439   22.01161724  6.01243249  6.38948334 56.88372567
Code
# Cross-tabulation: Race vs Diabetes
tab2 <- table(merged_data$Race, merged_data$Diabetes, useNA = "ifany")
prop.table(tab2) * 100  # overall percentages
                                     
                                             Yes         No       <NA>
  Mexican American                     0.8763885  0.4178131 15.8768980
  Other Hispanic                       0.4891470  0.1528585  8.8352186
  Non-Hispanic White                   2.0992561  0.5706716 33.3842862
  Non-Hispanic Black                   1.4878223  0.3668603 20.5441761
  Other Race - Including Multi-Racial  0.6827678  0.2140018 14.0018343
Code
# Cross-tabulation: Gender vs Diabetes
tab3 <- table(merged_data$Gender, merged_data$Diabetes, useNA = "ifany")
prop.table(tab3) * 100  # overall percentages
        
                Yes         No       <NA>
  Male    2.6903088  0.8865790 45.6537247
  Female  2.9450729  0.8356262 46.9886885
Code
## Bar plot of Age, gender, race, diabetes status, BMI ## 

plot_bar(merged_data, title = "Figure 3(Merged dataset). Frequency plots of categorical variables.")

Method

We performed Bayesian Logistic Regression Model statistical analysis on our data based on the data characteristics as - binary outcome (Diabetes (yes/ no) -binomial based on probability Bayes rules - bayes rule linear relation between (predictor) X and (response) Y - regression discrete variable that can have two values, 0 or 1 (Bernoulli probability model) Classification tasks in regression analyze of categorical response variables -predicting or classifying the response category.

We later compare the two models

  1. Frequentist methods Multiple Logistic regression model, Baseline Rgression model Firth (penalized regression) Model
  2. Bayesian Logistic Regression Model

Below are the principles, concept and assumptions of the two models

  1. Multiple logistic regression
  • Multiple linear regression on raw dataset, resulted in small sample size (complete case analysis and listwise deletion of NAs): (presented are first 6 deleted rows)
  • The data resulted in quasi-separation. Van Buuren and Van Buuren (2012).
  • Explored of the cause of missingness, revealed missing at random and missing not at random (MAR and MNAR) whic as reported previously are common in healthcare and public health datasets: (plot on missingness - see below)
  1. Baseline regression model (Only BMI to predict diabetes)
  • We conducted baseline model regression to know whether predictors significantly improve predictive power.
  • Null deviance = 16.75 (baseline fit).
  • Residual deviance = 15.11 (with BMI).
  • presents that the drop is small and that BMI category adds very little predictive value over just assuming the overall diabetes prevalence.

The anomalies in data (quasi-separation was handled by performing Firth regression and the small dataset due to listwise deletion was managed by performing Multivariate Imputation by Chained Equations (MICE).

Concept and results of Firth regression and MICE presented below.

  1. Firth (penalized) regression

Firth (penalized) regression was considered to handle quasi-separation, D’Angelo and Ran (2025). Firth regression, a frquentist approach that use Jeffreys prior for bias correction. It does not provide posterior and no sampling using MCMC (vs) bayesian logisitic regression.

Below are the summaries from the MLR (raw data), Baseline model regression, Firth regression

Data exploration of the raw dataset

Unexpected reports, patterns or anomalies in the raw data

  • Issue of quasi-complete separation in the data (9799 observations dropped)
  • Reduced sample size with reduced number of complete cases (n=14).
  • The model is overfitted to this subset and cannot be generalized.
  • Huge coefficients (e.g., 94, –50, 73) and the tiny residual deviance suggest perfect separation and sparse data in some categories with very few observations, resulted in imbalance in the outcome (very few cases of 0 or 1).
  • Logistic regression cannot estimate stable coefficients when predictors perfectly classify the outcome.
  • Firth regression dealt with quasi-separation with coefficients as finite, but the sample size was reduced (n= 14) where estimates are highly uncertain, wide confidence intervals → cannot make strong claims about predictor effects.
  • multivariate missingness, non-monotone (arbitrary) missingness with connected pattern, since all variables were at least observed in some cases.
  • in order to be able to estimate a correlation coefficient between two variables, they need to be connected, either directly by a set of cases that have scores on both, or indirectly through their relation with a third set of connected data.

Interpretation of the 14 non-missing cases - could not be trusted because of small sample size and the separation problem - Models with all predictors together and with sequential adding of predictors, all models showed unstable and extreme estimates with standard errors not meaningful. - Adding more predictors makes the deviance drop but indicated overfitting / separation, not true explanatory power. - BMI alone contributes very little - Race and gender make models appear stronger, but was based on small sample (n=14) and shows a case of complete separation, not generalizable evidence.

We decided to perform imputation, to retain full N = ~9813 to deal with small sample size and avoid quasi-separation.

  1. Multivariate Imputation by Chained Equations (MICE) Buuren and Groothuis-Oudshoorn (2011) - Bayesian Approach
  • Multiple imputation (MI) is considered as an alternative approach for the given raw dataset. Flatness of the density, heavy tails, non-zero peakedness, skewness and multimodality do not hamper the good performance of multiple imputation for the mean structure in samples n > 400 even for high percentages (75%) of missing data in one variable @Van Buuren and Van Buuren (2012).
  • Multiple Imputation (MI) is a Bayesian Approach (use popular mice package in R) and adds sampling variability to the imputations.
  • Iterative Imputation (MICE) imputes missing values of one variable at a time, using regression models based on the other variables in the dataset.
  • This is a chain process, with each imputed variable becoming a predictor for the subsequent imputation and the entire process is repeated multiple times to create several complete datasets, each reflecting different possibilities for the missing data.
  • Each variable is imputed using its own appropriate univariate regression model.
Code
## Multiple Imputation performed 
# Subset variables for imputation in analytic_data df
library(dplyr)
library(ggplot2)
library(mice)
library(VIM)
library(janitor)

# 1. Select variables for imputation
vars <- c("ID", "BMI", "Age", "Gender", "Race", "PSU", "Strata", "Weight", "Diabetes")
analytic_data <- merged_data[, vars]

glimpse(analytic_data)
Rows: 9,813
Columns: 9
$ ID       <dbl> 73557, 73558, 73559, 73560, 73561, 73562, 73563, 73564, 73566…
$ BMI      <fct> NA, NA, NA, Normal weight, NA, NA, NA, NA, NA, NA, NA, Normal…
$ Age      <dbl> 69, 54, 72, 9, 73, 56, 0, 61, 56, 65, 26, 9, 76, 10, 10, 33, …
$ Gender   <fct> Male, Male, Male, Male, Female, Male, Male, Female, Female, M…
$ Race     <fct> Non-Hispanic Black, Non-Hispanic White, Non-Hispanic White, N…
$ PSU      <dbl> 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1…
$ Strata   <dbl> 112, 108, 109, 109, 116, 111, 105, 114, 112, 112, 113, 115, 1…
$ Weight   <dbl> 13481.042, 24471.770, 57193.285, 55766.512, 65541.871, 25344.…
$ Diabetes <fct> Yes, Yes, No, NA, NA, NA, NA, NA, NA, NA, NA, NA, No, NA, NA,…
Code
glimpse(merged_data)
Rows: 9,813
Columns: 9
$ ID       <dbl> 73557, 73558, 73559, 73560, 73561, 73562, 73563, 73564, 73566…
$ BMI      <fct> NA, NA, NA, Normal weight, NA, NA, NA, NA, NA, NA, NA, Normal…
$ Age      <dbl> 69, 54, 72, 9, 73, 56, 0, 61, 56, 65, 26, 9, 76, 10, 10, 33, …
$ Gender   <fct> Male, Male, Male, Male, Female, Male, Male, Female, Female, M…
$ Race     <fct> Non-Hispanic Black, Non-Hispanic White, Non-Hispanic White, N…
$ PSU      <dbl> 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1…
$ Strata   <dbl> 112, 108, 109, 109, 116, 111, 105, 114, 112, 112, 113, 115, 1…
$ Weight   <dbl> 13481.042, 24471.770, 57193.285, 55766.512, 65541.871, 25344.…
$ Diabetes <fct> Yes, Yes, No, NA, NA, NA, NA, NA, NA, NA, NA, NA, No, NA, NA,…
Code
# 2. Run mice to create 5 imputed datasets
imputed_data <- mice(
  analytic_data,
  m = 5,              # number of imputed datasets
  method = 'pmm',     # predictive mean matching
  seed = 123
)

 iter imp variable
  1   1  BMI  Diabetes
  1   2  BMI  Diabetes
  1   3  BMI  Diabetes
  1   4  BMI  Diabetes
  1   5  BMI  Diabetes
  2   1  BMI  Diabetes
  2   2  BMI  Diabetes
  2   3  BMI  Diabetes
  2   4  BMI  Diabetes
  2   5  BMI  Diabetes
  3   1  BMI  Diabetes
  3   2  BMI  Diabetes
  3   3  BMI  Diabetes
  3   4  BMI  Diabetes
  3   5  BMI  Diabetes
  4   1  BMI  Diabetes
  4   2  BMI  Diabetes
  4   3  BMI  Diabetes
  4   4  BMI  Diabetes
  4   5  BMI  Diabetes
  5   1  BMI  Diabetes
  5   2  BMI  Diabetes
  5   3  BMI  Diabetes
  5   4  BMI  Diabetes
  5   5  BMI  Diabetes
Code
# 3. First imputed dataset
Imputed_data1 <- complete(imputed_data, 1)

# 4. Check missingness
str(Imputed_data1)
'data.frame':   9813 obs. of  9 variables:
 $ ID      : num  73557 73558 73559 73560 73561 ...
 $ BMI     : Factor w/ 4 levels "Underweight",..: 4 2 3 2 3 2 2 3 4 2 ...
 $ Age     : num  69 54 72 9 73 56 0 61 56 65 ...
 $ Gender  : Factor w/ 2 levels "Male","Female": 1 1 1 1 2 1 1 2 2 1 ...
 $ Race    : Factor w/ 5 levels "Mexican American",..: 4 3 3 3 3 1 3 3 3 3 ...
 $ PSU     : num  1 1 1 2 2 1 1 1 1 2 ...
 $ Strata  : num  112 108 109 109 116 111 105 114 112 112 ...
 $ Weight  : num  13481 24472 57193 55767 65542 ...
 $ Diabetes: Factor w/ 2 levels "Yes","No": 1 1 2 1 1 2 1 1 1 2 ...
Code
summary(Imputed_data1)
       ID                   BMI            Age           Gender    
 Min.   :73557   Underweight  : 218   Min.   : 0.00   Male  :4831  
 1st Qu.:76092   Normal weight:5107   1st Qu.:10.00   Female:4982  
 Median :78643   Overweight   :1831   Median :27.00                
 Mean   :78645   Obese        :2657   Mean   :31.63                
 3rd Qu.:81191                        3rd Qu.:52.00                
 Max.   :83731                        Max.   :80.00                
                                  Race           PSU            Strata     
 Mexican American                   :1685   Min.   :1.000   Min.   :104.0  
 Other Hispanic                     : 930   1st Qu.:1.000   1st Qu.:107.0  
 Non-Hispanic White                 :3538   Median :1.000   Median :111.0  
 Non-Hispanic Black                 :2198   Mean   :1.483   Mean   :110.9  
 Other Race - Including Multi-Racial:1462   3rd Qu.:2.000   3rd Qu.:115.0  
                                            Max.   :2.000   Max.   :118.0  
     Weight       Diabetes  
 Min.   :  3748   Yes:7252  
 1st Qu.: 13187   No :2561  
 Median : 20965             
 Mean   : 31713             
 3rd Qu.: 37922             
 Max.   :171395             
Code
colSums(is.na(Imputed_data1))
      ID      BMI      Age   Gender     Race      PSU   Strata   Weight 
       0        0        0        0        0        0        0        0 
Diabetes 
       0 
Code
plot_intro(Imputed_data1, title="Figure 8. Structure of variables and missing observations.")

Code
plot_bar(Imputed_data1, title = "Figure 9. Frequency plots of categorical variables.")

Code
plot_correlation(na.omit(Imputed_data1[, c("BMI", "Diabetes")]), maxcat=5L, title = "Figure")

Code
# 5. Cross-tabulation
tab <- table(Imputed_data1$BMI, Imputed_data1$Diabetes)
print(tab)
               
                 Yes   No
  Underweight    159   59
  Normal weight 3760 1347
  Overweight    1342  489
  Obese         1991  666
Code
# Chi-square test
chisq.test(tab)

    Pearson's Chi-squared test

data:  tab
X-squared = 2.1289, df = 3, p-value = 0.5461
Code
# Cross-tabulation

# BMI vs Diabetes
tab_BMI <- table(Imputed_data1$BMI, Imputed_data1$Diabetes)
print(tab_BMI)
               
                 Yes   No
  Underweight    159   59
  Normal weight 3760 1347
  Overweight    1342  489
  Obese         1991  666
Code
prop.table(tab_BMI, 1) * 100  # row percentages
               
                     Yes       No
  Underweight   72.93578 27.06422
  Normal weight 73.62444 26.37556
  Overweight    73.29328 26.70672
  Obese         74.93414 25.06586
Code
# Gender vs Diabetes
tab_gender <- table(Imputed_data1$Gender, Imputed_data1$Diabetes)
prop.table(tab_gender, 1) * 100
        
              Yes       No
  Male   72.92486 27.07514
  Female 74.84946 25.15054
Code
# Race vs Diabetes
tab_race <- table(Imputed_data1$Race, Imputed_data1$Diabetes)
prop.table(tab_race, 1) * 100
                                     
                                           Yes       No
  Mexican American                    71.03858 28.96142
  Other Hispanic                      74.40860 25.59140
  Non-Hispanic White                  76.17298 23.82702
  Non-Hispanic Black                  72.47498 27.52502
  Other Race - Including Multi-Racial 73.52941 26.47059
Code
# Age vs Diabetes
tab_age <- table(Imputed_data1$Age, Imputed_data1$Diabetes)
head (prop.table(tab_age, 1) * 100)
   
         Yes       No
  0 74.93606 25.06394
  1 74.89879 25.10121
  2 72.51908 27.48092
  3 74.64115 25.35885
  4 73.48837 26.51163
  5 67.17172 32.82828
Code
# Breakdown of Diabetes within BMI
breakdown_BMI <- Imputed_data1 %>%
  group_by(BMI, Diabetes) %>%
  summarise(Count = n(), .groups = "drop") %>%
  group_by(BMI) %>%
  mutate(
    Percent = round(100 * Count / sum(Count), 1)
  )
breakdown_BMI
# A tibble: 8 × 4
# Groups:   BMI [4]
  BMI           Diabetes Count Percent
  <fct>         <fct>    <int>   <dbl>
1 Underweight   Yes        159    72.9
2 Underweight   No          59    27.1
3 Normal weight Yes       3760    73.6
4 Normal weight No        1347    26.4
5 Overweight    Yes       1342    73.3
6 Overweight    No         489    26.7
7 Obese         Yes       1991    74.9
8 Obese         No         666    25.1
Code
# 6. Frequency tables for categorical variables
categorical_vars <- c("BMI", "Gender", "Race", "Diabetes")

for (var in categorical_vars) {
  cat("\nFrequency table for", var, ":\n")
  print(table(Imputed_data1[[var]]))
  print(round(prop.table(table(Imputed_data1[[var]])), 3))
}

Frequency table for BMI :

  Underweight Normal weight    Overweight         Obese 
          218          5107          1831          2657 

  Underweight Normal weight    Overweight         Obese 
        0.022         0.520         0.187         0.271 

Frequency table for Gender :

  Male Female 
  4831   4982 

  Male Female 
 0.492  0.508 

Frequency table for Race :

                   Mexican American                      Other Hispanic 
                               1685                                 930 
                 Non-Hispanic White                  Non-Hispanic Black 
                               3538                                2198 
Other Race - Including Multi-Racial 
                               1462 

                   Mexican American                      Other Hispanic 
                              0.172                               0.095 
                 Non-Hispanic White                  Non-Hispanic Black 
                              0.361                               0.224 
Other Race - Including Multi-Racial 
                              0.149 

Frequency table for Diabetes :

 Yes   No 
7252 2561 

  Yes    No 
0.739 0.261 
Code
# 7. Summary statistics for continuous variables
continuous_vars <- c("Age")

for (var in continuous_vars) {
  cat("\nSummary statistics for", var, ":\n")
  print(summary(Imputed_data1[[var]]))
  print(paste("SD:", round(sd(Imputed_data1[[var]]), 2)))
}

Summary statistics for Age :
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
   0.00   10.00   27.00   31.63   52.00   80.00 
[1] "SD: 24.4"
Code
# 8. Bar plots for categorical variables
for (var in categorical_vars) {
  ggplot(Imputed_data1, aes_string(x = var)) +
    geom_bar(fill = "steelblue") +
    labs(title = paste("Bar plot of", var), y = "Count") +
    theme_minimal() -> p
  print(p)
}

Code
# 9. Histograms for continuous variables
for (var in continuous_vars) {
  ggplot(Imputed_data1, aes_string(x = var)) +
    geom_histogram(fill = "skyblue", color = "black", bins = 30) +
    labs(title = paste("Histogram of", var), y = "Frequency") +
    theme_minimal() -> p
  print(p)
}

Code
# 10. Scatter plot example (BMI vs Age)
ggplot(Imputed_data1, aes(x = Age, y = BMI, color = BMI)) +
  geom_point(alpha = 0.6) +
  labs(title = "Scatter plot of BMI vs Age", y = "BMI", x = "Age") +
  theme_minimal()

Code
# 11. Relative breakdown of Diabetes by BMI
ggplot(breakdown_BMI, aes(x = BMI, y = Percent, fill = Diabetes)) +
  geom_col(position = "fill") +
  scale_y_continuous(labels = scales::percent) +
  labs(
    title = "Relative Breakdown of Diabetes by BMI Category",
    x = "BMI Category", y = "Proportion"
  ) +
  theme_minimal()

Code
# 12. Crosstab with percentages
Imputed_data1 %>% 
  tabyl(Diabetes, BMI) %>% 
  adorn_percentages("col")
 Diabetes Underweight Normal weight Overweight     Obese
      Yes   0.7293578     0.7362444  0.7329328 0.7493414
       No   0.2706422     0.2637556  0.2670672 0.2506586
Code
# 13. Margin plot for BMI vs Diabetes
marginplot(
  Imputed_data1[, c("BMI", "Diabetes")],
  col = mdc(1:2, trans = FALSE),
  cex = 1.2,
  cex.lab = 1.2,
  cex.numbers = 1.3,
  pch = 19
)

Results from MICE:

  • MI resulted in filling imputed values with resulting 9813 observations with no NAs. A comparative bar plot on missingness in the raw data and the imputed data is presented below.

  • A heatmap of the imputed dataset generated a correlation between BMI categories and Diabetes status. BMI dummy variables are strongly negatively correlated.

  • There was no strong linear association between BMI category and diabetes in the dataset. Chi-square calculation of categorical varaibels revealed p-value = 0.5461, which is > 0.05 with no evidence of association. Imputed data check in marginal plot- The margin plot shows that the distribution of imputed points is consistent with observed data (no strange outliers)

Modeling

The Logistic regression model is:

\[ \text{logit}(P(Y_i=1)) = \beta_0 + \beta_1 \cdot Age_i + \beta_2 \cdot BMI_i + \beta_3 \cdot HTN_i + \beta_4 \cdot HDL_i + \beta_5 \cdot (HTN_i \times HDL_i) \]

Linear Regression equation:

\[ y_i = \beta_0 + \beta_1 X_1 +\varepsilon_i \]

Comparison of multiple imputation and Bayesian data augmentation

Multiple imputation Bayesian data augmentation
  • frequentist approach and requires no priors, and has moderate flexibility
  • performs missing data imputation and regression model fitting simultaneously

  • Markov Chain Monte Carlo (MCMC) draws samples from the joint posterior of regression parameters, missing values and provide complete datasets by extracting posterior means, credible intervals, and probabilities

  • handles missing values first by imputation, performs regression analysis, pools results
  • performed on the data with missingness

  • shrink extreme estimates back toward plausible values

  • propagate uncertainty added after analysis (pooling).
  • handles uncertainty in missing values fully propagated through the model, naturally handles small or sparse datasets and separation problems.

Diagnostics performed before regression analysis

  1. Modeling assumption check
  2. Correlation matrix, Cook’s distance, influential points
  3. Model plot
Code
# MLR on imputed data
# assumption check (# for correlation # )
# correlation matrix
# Frequentist logistic regression on imputed data

m_imp <- glm(Diabetes ~ Age + Gender + Race + BMI,
             data = Imputed_data1,
             family = binomial)
summary(m_imp)

Call:
glm(formula = Diabetes ~ Age + Gender + Race + BMI, family = binomial, 
    data = Imputed_data1)

Coefficients:
                                         Estimate Std. Error z value Pr(>|z|)
(Intercept)                             -0.761926   0.162425  -4.691 2.72e-06
Age                                     -0.004728   0.001011  -4.678 2.89e-06
GenderFemale                            -0.092730   0.046133  -2.010  0.04442
RaceOther Hispanic                      -0.154250   0.092549  -1.667  0.09558
RaceNon-Hispanic White                  -0.212663   0.067746  -3.139  0.00169
RaceNon-Hispanic Black                  -0.055537   0.072128  -0.770  0.44131
RaceOther Race - Including Multi-Racial -0.109388   0.080345  -1.361  0.17336
BMINormal weight                         0.024339   0.156361   0.156  0.87630
BMIOverweight                            0.071544   0.162658   0.440  0.66005
BMIObese                                 0.020287   0.161137   0.126  0.89981
                                           
(Intercept)                             ***
Age                                     ***
GenderFemale                            *  
RaceOther Hispanic                      .  
RaceNon-Hispanic White                  ** 
RaceNon-Hispanic Black                     
RaceOther Race - Including Multi-Racial    
BMINormal weight                           
BMIOverweight                              
BMIObese                                   
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 11267  on 9812  degrees of freedom
Residual deviance: 11219  on 9803  degrees of freedom
AIC: 11239

Number of Fisher Scoring iterations: 4
Code
coef(m_imp)
                            (Intercept)                                     Age 
                           -0.761925862                            -0.004727998 
                           GenderFemale                      RaceOther Hispanic 
                           -0.092730385                            -0.154250348 
                 RaceNon-Hispanic White                  RaceNon-Hispanic Black 
                           -0.212662854                            -0.055536906 
RaceOther Race - Including Multi-Racial                        BMINormal weight 
                           -0.109388375                             0.024339471 
                          BMIOverweight                                BMIObese 
                            0.071543638                             0.020286793 
Code
confint(m_imp)
                                               2.5 %       97.5 %
(Intercept)                             -1.086867141 -0.449109500
Age                                     -0.006713516 -0.002751496
GenderFemale                            -0.183172208 -0.002320639
RaceOther Hispanic                      -0.336602276  0.026303770
RaceNon-Hispanic White                  -0.345137536 -0.079535197
RaceNon-Hispanic Black                  -0.196779898  0.086003952
RaceOther Race - Including Multi-Racial -0.267119094  0.047893182
BMINormal weight                        -0.276189156  0.337871931
BMIOverweight                           -0.241855094  0.396816724
BMIObese                                -0.289985572  0.342735874
Code
# Log-odds (link)
Imputed_data1$logit <- predict(m_imp, type = "link") ## log (Odds) 

# Probability
Imputed_data1$prob <- exp(Imputed_data1$logit) / (1 + exp(Imputed_data1$logit)) # prob 

# Plot predicted probability vs Age
ggplot(Imputed_data1, aes(x = Age, y = prob)) +
  geom_point(alpha = 0.3) +
  geom_smooth(method = "loess") +
  labs(x = "Age", y = "Predicted Probability of Diabetes")

Findings from regression of MI data set

  1. MLR on imputed data (Frequentist approach)
  • Relationship between Age and log-odds of diabetes are roughly linear but not perfectly, but are acceptable for logistic regression assumptions.

  • Generalized Variance Inflation Factor (vif- adjusted report there is no collinearity between predictors (GVIF between ~1.0–1.04) and we can run model without removing or dropping or combining variables.

  • Cooks distance and influential points, we found - Most data points are safe, not influencing the model In the data with (~9813 cases), cutoff ≈ 0.0004. A cluster at high leverage shows unusual predictor values, but not high influence. A few above Cook’s Distance cutoff: worth checking individually, but no major threat to model stability. no outliers detected (not suspected = 9813)

  • Results from Hosmer–Lemeshow (H–L) at alpha =0.05, with p < 0.001, we find our logistic regression model does not fit the data well.

  • Graph shows Residual vs fitted (imputed data model)

  1. Results from Bayesian Data Augmentation and logistic regression
  • We incorporate prior knowledge that BMI increases diabetes odds by .,
  • We use priors for Bayesian logistic regression and compare the models with different priors in the model
    • Prior (intercept) - We use intercept prior from this study data
    • Prior (coefficients) - BMI, Age, gender
      • Weak prior N (0,2.5) -βBMI∼N(μ,σ2)
      • A common approach is to use a normal distribution, βBMI∼N(μ,σ2), for the regression coefficient. 
      • informative prior from previous studies βBMI∼N(μ,σ2) , βAge∼N(μ,σ2), βgender∼N(μ,σ2), βrace ∼N(μ,σ2)

For males, the informative prior Ali et al. (2024), we use is

Normal(μ = 1.705, σ² = 0.448²).

Code
# Fitted values and residuals
fitted_imputed1 <- fitted(m_imp)
residual_imputed1 <- residuals(m_imp)

# Residuals vs Fitted plot
plot(fitted_imputed1, residual_imputed1,
     xlab = "Fitted probabilities",
     ylab = "Residuals",
     main = "Residuals vs Fitted")
abline(h = 0, col = "red", lty = 2)

Code
# Collinearity check
library(car)
vif(m_imp)  # VIF > 5 indicates multicollinearity
           GVIF Df GVIF^(1/(2*Df))
Age    1.108163  1        1.052693
Gender 1.002032  1        1.001015
Race   1.040913  4        1.005025
BMI    1.078206  3        1.012629
Code
# Influential points
library(broom)
influence_m_imp <- broom::augment(m_imp)

# Plot Cook's distance
ggplot(influence_m_imp, aes(x = seq_along(.cooksd), y = .cooksd)) +
  geom_bar(stat = "identity", fill = "steelblue") +
  geom_hline(yintercept = 4 / nrow(influence_m_imp), color = "red", linetype = "dashed") +
  labs(x = "Observation", y = "Cook's Distance", title = "Influential Points (Cook's Distance)") +
  theme_minimal()

Code
influence_m_imp <- influence_m_imp %>%
  mutate(outlier = ifelse(abs(.std.resid) > 2, TRUE, FALSE))


# Cook's distance plot
ggplot(influence_m_imp, aes(x = .hat, y = .cooksd)) +
  geom_point() +
  labs(x = "Leverage", y = "Cook's Distance")

Code
# Scatter plot with outliers highlighted

ggplot(influence_m_imp, aes(x = fitted_imputed1 , y = residual_imputed1, color = outlier)) +
  geom_point(size = 2) +
  geom_hline(yintercept = 0, linetype = "dashed") +
  labs(x = "Fitted Values", y = "Standardized Residuals",
       title = "Scatter Plot for Outlier Detection") +
  scale_color_manual(values = c("black", "red")) +
  theme_minimal()

Code
###   Transform Response & Goodness-of-Fit   ###

# Numeric response
Imputed_data1$Diabetes_num <- ifelse(Imputed_data1$Diabetes == "Yes", 1, 0)

# Hosmer-Lemeshow test
library(ResourceSelection)
hoslem.test(Imputed_data1$Diabetes_num, fitted(m_imp))

    Hosmer and Lemeshow goodness of fit (GOF) test

data:  Imputed_data1$Diabetes_num, fitted(m_imp)
X-squared = 12190, df = 8, p-value < 2.2e-16
Code
# ANOVA for model
anova(m_imp)
Analysis of Deviance Table

Model: binomial, link: logit

Response: Diabetes

Terms added sequentially (first to last)

       Df Deviance Resid. Df Resid. Dev  Pr(>Chi)    
NULL                    9812      11267              
Age     1  31.1696      9811      11236 2.364e-08 ***
Gender  1   3.9271      9810      11232   0.04751 *  
Race    4  12.2392      9806      11220   0.01566 *  
BMI     3   0.7227      9803      11219   0.86784    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Code
anova(m_imp, test = "Chisq")
Analysis of Deviance Table

Model: binomial, link: logit

Response: Diabetes

Terms added sequentially (first to last)

       Df Deviance Resid. Df Resid. Dev  Pr(>Chi)    
NULL                    9812      11267              
Age     1  31.1696      9811      11236 2.364e-08 ***
Gender  1   3.9271      9810      11232   0.04751 *  
Race    4  12.2392      9806      11220   0.01566 *  
BMI     3   0.7227      9803      11219   0.86784    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Code
# Adjusted R²
library(glmtoolbox)
adjR2(m_imp)
[1] 0.00335
Code
# Residual vs fitted for imputed data
plot(m_imp$fitted.values, resid(m_imp),
     xlab = "Fitted values",
     ylab = "Residuals",
     main = "Residuals vs Fitted",
     pch = 19, col = "blue")
abline(h = 0, col = "red", lwd = 2)

Code
# Frequentist logistic regression on raw datd - Firth logistic regression (penalized regression)
library(logistf)

m_firth <- logistf(Diabetes ~ BMI + Age + Gender + Race,
                   data = merged_data)
summary(m_firth)
logistf(formula = Diabetes ~ BMI + Age + Gender + Race, data = merged_data)

Model fitted by Penalized ML
Coefficients:
                                              coef  se(coef)  lower 0.95
(Intercept)                              2.2909182 2.0520292  -1.7059362
BMIOverweight                            2.5151817 1.9838969  -1.2146946
BMIObese                                -0.4519637 1.8778881  -5.4843160
Age                                     -0.2545704 0.1911568  -1.4579663
GenderFemale                            -2.1675543 2.0190594 -17.0316807
RaceOther Hispanic                       0.9518795 1.9225099 -12.0194116
RaceNon-Hispanic White                  -2.5671499 2.2189914 -21.6563170
RaceNon-Hispanic Black                   3.3280688 2.2005227  -0.4678607
RaceOther Race - Including Multi-Racial  1.3072954 2.0609641  -2.6483209
                                        upper 0.95      Chisq          p method
(Intercept)                             16.1697706 1.25690744 0.26223728      2
BMIOverweight                           21.9385716 1.68994830 0.19360778      2
BMIObese                                 3.4687761 0.05538832 0.81393924      2
Age                                      0.1148471 1.81192970 0.17827692      2
GenderFemale                             5.9967059 0.69556457 0.40427809      2
RaceOther Hispanic                      10.8617660 0.20246895 0.65273532      2
RaceNon-Hispanic White                   1.6700624 1.36287409 0.24304000      2
RaceNon-Hispanic Black                  25.3575974 2.86971841 0.09026066      2
RaceOther Race - Including Multi-Racial 21.7820826 0.39215076 0.53117103      2

Method: 1-Wald, 2-Profile penalized log-likelihood, 3-None

Likelihood ratio test=6.066658 on 8 df, p=0.6397653, n=14
Wald test = 5.257182 on 8 df, p = 0.7297677
Code
# Imputed data plots ## pred_prob_imputed #
 
Imputed_data1 <- Imputed_data1 %>%
  mutate(pred_prob_imputed = predict(m_imp, type = "response")) # predicted probabilities

Imputed_plot <- Imputed_data1 %>% select(BMI, pred_prob_imputed) %>% mutate(Source = "Imputed")


# Rename probability column to common name
Imputed_plot <- Imputed_plot %>% rename(Pred_Prob = pred_prob_imputed)


ggplot(Imputed_data1, aes(x = BMI, y = pred_prob_imputed, fill = BMI)) +
  geom_boxplot(alpha = 0.6) +
  geom_jitter(width = 0.2, alpha = 0.3, size = 1) +
  labs(x = "BMI Category", y = "Predicted Probability of Diabetes",
       title = "Predicted Diabetes Probability by BMI Category") +
  theme_minimal()

Code
merged_data_clean <- merged_data %>%
  filter(!is.na(BMI), !is.na(Diabetes))

ggplot(merged_data_clean, aes(x = BMI, fill = factor(Diabetes))) +
  geom_bar(position = "fill") +
  scale_y_continuous(labels = scales::percent) +
  labs(x = "BMI Category", y = "Proportion with Diabetes",
       fill = "Diabetes",
       title = "Observed Diabetes Proportions by BMI Category") +
  theme_minimal()

Code
ggplot(Imputed_data1, aes(x = Race, y = pred_prob_imputed, fill = Race)) +
  geom_boxplot(alpha = 0.6) +
  geom_jitter(width = 0.2, alpha = 0.3, size = 1) +
  labs(x = "Race ", y = "Predicted Probability of Diabetes",
       title = "Predicted Diabetes Probability by Race ") +
  theme_minimal()

Code
merged_data_clean_Race <- merged_data %>%
  filter(!is.na(Race), !is.na(Diabetes))

ggplot(merged_data_clean, aes(x = Race, fill = factor(Diabetes))) +
  geom_bar(position = "fill") +
  scale_y_continuous(labels = scales::percent) +
  labs(x = "Race ", y = "Proportion with Diabetes",
       fill = "Diabetes",
       title = "Observed Diabetes Proportions by Race ") +
  theme_minimal()

Code
ggplot(merged_data, aes(x = Age, y = Diabetes)) + 
  geom_jitter(size = 0.2)

Code
ggplot(Imputed_data1, aes(x = Age, y = Diabetes)) + 
  geom_jitter(size = 0.2)

Code
            # Create age groups
# Create contingency table with Diabetes

Imputed_data1$Age_group <- ifelse(Imputed_data1$Age < 40, "<40", ">=40")

tab_age <- table(Imputed_data1$Age_group, Imputed_data1$Diabetes)
prop_age <- prop.table(tab_age, 1) * 100

tab_age
      
        Yes   No
  <40  4414 1691
  >=40 2838  870
Code
prop_age
      
            Yes       No
  <40  72.30139 27.69861
  >=40 76.53722 23.46278
Code
# Convert table to data frame
df_age <- as.data.frame(tab_age)
names(df_age) <- c("Age_group", "Diabetes", "Count")  # rename columns
Code
## Reference: Gelman et al., 2008, “Weakly informative priors: Normal(0, 2.5) for coefficients (b) and Normal(0, 5) for the intercept as default weakly informative priors for logistic regression ##
library(brms)

priors <- c(
  set_prior("normal(0, 2.5)", class = "b"),        # for coefficients
  set_prior("normal(0, 5)", class = "Intercept")   # for intercept
)


formula_bayes <- bf(Diabetes ~ Age + BMI + Gender + Race)

Diabetes_prior <- brm(
  formula = formula_bayes,
  data = Imputed_data1,
  family = bernoulli(link = "logit"),   # logistic regression
  prior = priors,
  chains = 4,
  iter = 2000,
  seed = 123,
  control = list(adapt_delta = 0.95)
)
Running /opt/R/4.4.2/lib/R/bin/R CMD SHLIB foo.c
using C compiler: ‘gcc (GCC) 11.5.0 20240719 (Red Hat 11.5.0-2)’
gcc -I"/opt/R/4.4.2/lib/R/include" -DNDEBUG   -I"/opt/R/4.4.2/lib/R/library/Rcpp/include/"  -I"/opt/R/4.4.2/lib/R/library/RcppEigen/include/"  -I"/opt/R/4.4.2/lib/R/library/RcppEigen/include/unsupported"  -I"/opt/R/4.4.2/lib/R/library/BH/include" -I"/opt/R/4.4.2/lib/R/library/StanHeaders/include/src/"  -I"/opt/R/4.4.2/lib/R/library/StanHeaders/include/"  -I"/opt/R/4.4.2/lib/R/library/RcppParallel/include/"  -I"/opt/R/4.4.2/lib/R/library/rstan/include" -DEIGEN_NO_DEBUG  -DBOOST_DISABLE_ASSERTS  -DBOOST_PENDING_INTEGER_LOG2_HPP  -DSTAN_THREADS  -DUSE_STANC3 -DSTRICT_R_HEADERS  -DBOOST_PHOENIX_NO_VARIADIC_EXPRESSION  -D_HAS_AUTO_PTR_ETC=0  -include '/opt/R/4.4.2/lib/R/library/StanHeaders/include/stan/math/prim/fun/Eigen.hpp'  -D_REENTRANT -DRCPP_PARALLEL_USE_TBB=1   -I/usr/local/include    -fpic  -g -O2  -c foo.c -o foo.o
In file included from /opt/R/4.4.2/lib/R/library/RcppEigen/include/Eigen/Core:19,
                 from /opt/R/4.4.2/lib/R/library/RcppEigen/include/Eigen/Dense:1,
                 from /opt/R/4.4.2/lib/R/library/StanHeaders/include/stan/math/prim/fun/Eigen.hpp:22,
                 from <command-line>:
/opt/R/4.4.2/lib/R/library/RcppEigen/include/Eigen/src/Core/util/Macros.h:679:10: fatal error: cmath: No such file or directory
  679 | #include <cmath>
      |          ^~~~~~~
compilation terminated.
make: *** [/opt/R/4.4.2/lib/R/etc/Makeconf:195: foo.o] Error 1

SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 1).
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Code
summary(Diabetes_prior)
 Family: bernoulli 
  Links: mu = logit 
Formula: Diabetes ~ Age + BMI + Gender + Race 
   Data: Imputed_data1 (Number of observations: 9813) 
  Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
         total post-warmup draws = 4000

Regression Coefficients:
                                    Estimate Est.Error l-95% CI u-95% CI Rhat
Intercept                              -0.77      0.16    -1.09    -0.44 1.00
Age                                    -0.00      0.00    -0.01    -0.00 1.00
BMINormalweight                         0.03      0.16    -0.27     0.34 1.00
BMIOverweight                           0.08      0.16    -0.24     0.40 1.00
BMIObese                                0.03      0.16    -0.29     0.35 1.00
GenderFemale                           -0.09      0.05    -0.18    -0.00 1.00
RaceOtherHispanic                      -0.15      0.09    -0.34     0.03 1.00
RaceNonMHispanicWhite                  -0.21      0.07    -0.34    -0.08 1.00
RaceNonMHispanicBlack                  -0.06      0.07    -0.20     0.09 1.00
RaceOtherRaceMIncludingMultiMRacial    -0.11      0.08    -0.26     0.05 1.00
                                    Bulk_ESS Tail_ESS
Intercept                               1834     1902
Age                                     4495     2737
BMINormalweight                         1820     1960
BMIOverweight                           1899     2263
BMIObese                                1884     1952
GenderFemale                            3564     2756
RaceOtherHispanic                       2685     2528
RaceNonMHispanicWhite                   2156     2917
RaceNonMHispanicBlack                   2444     2590
RaceOtherRaceMIncludingMultiMRacial     2311     2896

Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
and Tail_ESS are effective sample size measures, and Rhat is the potential
scale reduction factor on split chains (at convergence, Rhat = 1).
Code
plot(Diabetes_prior) 

Code
posterior_predict(Diabetes_prior)
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   [9,]      0      0      1      0      0      0      0      1      0      0
  [10,]      1      0      1      1      0      0      1      0      0      1
        [,118] [,119] [,120] [,121] [,122] [,123] [,124] [,125] [,126] [,127]
   [1,]      0      0      0      1      1      0      1      1      0      0
   [2,]      0      0      0      0      0      1      0      0      0      0
   [3,]      0      0      0      1      0      0      1      0      0      0
   [4,]      0      0      0      0      0      0      0      0      0      0
   [5,]      0      0      1      0      0      0      0      0      0      1
   [6,]      0      0      0      1      0      0      0      0      0      1
   [7,]      0      1      1      0      0      0      1      1      0      0
   [8,]      0      0      1      0      1      0      0      0      1      0
   [9,]      1      0      0      1      0      0      0      0      1      0
  [10,]      1      0      1      0      1      1      0      0      0      0
        [,128] [,129] [,130] [,131] [,132] [,133] [,134] [,135] [,136] [,137]
   [1,]      0      0      0      0      0      0      0      0      0      1
   [2,]      0      0      1      0      0      1      0      0      0      0
   [3,]      0      0      0      0      0      1      0      0      0      0
   [4,]      0      0      1      1      0      0      0      1      0      1
   [5,]      0      0      0      0      0      0      0      0      0      0
   [6,]      0      1      1      0      0      0      0      0      0      0
   [7,]      0      0      0      1      0      1      1      0      1      0
   [8,]      0      0      0      0      0      0      0      0      0      0
   [9,]      0      0      0      0      0      0      1      0      0      1
  [10,]      1      1      0      0      0      0      0      0      0      0
        [,138] [,139] [,140] [,141] [,142] [,143] [,144] [,145] [,146] [,147]
   [1,]      0      0      0      1      0      0      1      1      0      1
   [2,]      0      0      0      0      1      0      0      0      0      1
   [3,]      0      0      0      0      0      0      0      1      0      0
   [4,]      1      0      0      0      0      0      1      0      0      0
   [5,]      0      0      1      0      0      0      0      0      0      1
   [6,]      0      0      0      0      0      0      0      1      0      0
   [7,]      0      0      1      0      0      0      0      1      0      0
   [8,]      0      0      0      1      0      1      0      1      1      0
   [9,]      1      0      1      0      0      0      0      1      0      0
  [10,]      0      0      0      1      0      0      0      0      0      0
        [,148] [,149] [,150] [,151] [,152] [,153] [,154] [,155] [,156] [,157]
   [1,]      1      0      0      0      0      0      0      0      1      0
   [2,]      1      0      1      1      0      0      0      0      0      0
   [3,]      1      1      0      1      0      0      1      0      0      0
   [4,]      0      0      0      0      0      0      0      1      0      0
   [5,]      0      0      0      1      1      0      0      1      0      0
   [6,]      0      0      0      0      0      0      0      1      1      0
   [7,]      0      0      1      1      1      0      0      1      1      0
   [8,]      0      1      0      0      0      0      1      0      1      1
   [9,]      1      0      0      0      0      0      0      1      0      0
  [10,]      0      1      1      0      0      1      0      0      0      0
        [,158] [,159] [,160] [,161] [,162] [,163] [,164] [,165] [,166] [,167]
   [1,]      0      1      1      0      0      1      0      0      1      1
   [2,]      0      0      0      0      0      0      0      1      0      1
   [3,]      0      0      0      0      1      1      0      0      0      0
   [4,]      1      1      0      0      1      1      1      0      0      1
   [5,]      0      0      1      0      1      1      0      0      0      0
   [6,]      0      0      0      1      0      0      0      0      0      0
   [7,]      0      0      1      1      0      0      0      1      0      0
   [8,]      0      0      1      0      0      0      0      0      1      0
   [9,]      0      0      0      1      1      0      1      1      0      0
  [10,]      1      0      0      0      0      0      1      0      0      0
        [,168] [,169] [,170] [,171] [,172] [,173] [,174] [,175] [,176] [,177]
   [1,]      0      0      0      0      0      0      1      0      0      0
   [2,]      0      0      1      0      0      0      0      0      1      1
   [3,]      0      1      0      0      0      0      0      1      1      1
   [4,]      0      1      0      0      0      0      0      0      1      0
   [5,]      1      1      1      0      0      0      1      0      0      0
   [6,]      0      0      0      0      0      1      0      0      0      0
   [7,]      0      0      0      0      0      0      0      1      0      0
   [8,]      0      0      0      1      1      0      0      0      0      0
   [9,]      0      0      0      0      0      0      0      0      0      0
  [10,]      1      1      0      0      0      0      0      1      1      1
        [,178] [,179] [,180] [,181] [,182] [,183] [,184] [,185] [,186] [,187]
   [1,]      0      0      0      1      1      0      0      0      1      0
   [2,]      0      0      0      0      0      1      0      0      0      0
   [3,]      0      1      0      0      0      0      0      0      0      1
   [4,]      0      0      1      0      0      0      0      0      1      0
   [5,]      0      0      0      0      0      1      1      1      1      0
   [6,]      0      0      0      0      0      1      1      0      0      0
   [7,]      0      0      0      1      1      0      1      0      0      0
   [8,]      0      0      0      1      1      1      0      0      0      0
   [9,]      0      1      0      0      0      0      1      0      0      1
  [10,]      0      1      0      0      0      1      0      0      1      0
        [,188] [,189] [,190] [,191] [,192] [,193] [,194] [,195] [,196] [,197]
   [1,]      0      0      0      0      0      0      0      0      0      0
   [2,]      0      1      0      0      0      1      1      1      0      0
   [3,]      0      0      0      0      0      1      0      1      0      1
   [4,]      1      0      0      0      0      0      0      0      1      0
   [5,]      1      0      0      0      0      0      0      1      0      0
   [6,]      0      0      0      0      0      1      1      0      0      1
   [7,]      1      0      0      0      0      1      0      0      1      0
   [8,]      0      0      0      0      0      0      0      0      1      0
   [9,]      1      1      0      0      0      0      0      0      1      0
  [10,]      0      0      0      1      0      0      0      0      0      1
        [,198] [,199] [,200] [,201] [,202] [,203] [,204] [,205] [,206] [,207]
   [1,]      0      0      0      0      0      0      0      0      0      1
   [2,]      0      0      0      0      1      0      0      0      0      0
   [3,]      0      0      0      0      0      0      0      0      0      0
   [4,]      1      0      0      0      1      0      0      0      0      0
   [5,]      0      0      0      0      1      1      0      1      0      0
   [6,]      0      0      0      0      0      0      0      0      0      1
   [7,]      1      0      0      1      0      0      0      1      1      0
   [8,]      0      1      0      0      0      0      0      0      0      0
   [9,]      0      1      0      0      1      0      1      0      0      0
  [10,]      1      1      0      0      1      0      0      0      0      0
        [,208] [,209] [,210] [,211] [,212] [,213] [,214] [,215] [,216] [,217]
   [1,]      0      0      0      0      1      0      0      0      0      0
   [2,]      0      1      1      0      0      0      0      0      0      0
   [3,]      0      1      0      0      0      0      0      0      0      1
   [4,]      0      0      0      0      1      0      0      0      0      0
   [5,]      0      0      1      0      0      0      0      1      0      0
   [6,]      0      0      0      0      0      0      0      0      0      1
   [7,]      1      0      0      0      0      0      0      1      0      0
   [8,]      1      0      0      0      0      1      0      0      0      0
   [9,]      0      1      0      0      0      0      0      0      0      0
  [10,]      1      0      0      0      0      0      1      0      0      0
        [,218] [,219] [,220] [,221] [,222] [,223] [,224] [,225] [,226] [,227]
   [1,]      0      0      0      1      0      0      0      0      1      1
   [2,]      0      0      1      1      0      0      0      0      1      0
   [3,]      0      1      0      0      0      0      0      1      0      1
   [4,]      0      1      0      0      1      0      1      1      1      0
   [5,]      0      1      0      0      0      1      0      0      0      0
   [6,]      0      0      0      1      1      0      0      0      0      0
   [7,]      0      0      0      1      0      0      0      0      1      1
   [8,]      1      1      0      1      0      0      1      1      0      0
   [9,]      0      0      0      1      0      0      0      0      0      0
  [10,]      0      0      0      1      0      1      0      0      0      1
        [,228] [,229] [,230] [,231] [,232] [,233] [,234] [,235] [,236] [,237]
   [1,]      0      0      0      0      0      0      0      0      0      0
   [2,]      0      0      1      0      0      0      0      0      0      0
   [3,]      0      1      1      0      0      1      1      0      0      0
   [4,]      0      0      0      0      0      0      0      1      0      0
   [5,]      0      0      0      0      0      0      1      1      0      0
   [6,]      1      0      0      0      0      0      1      0      0      0
   [7,]      0      1      0      0      0      1      0      0      0      1
   [8,]      0      0      0      1      0      0      0      0      0      0
   [9,]      0      0      1      0      0      0      0      0      0      1
  [10,]      0      0      0      0      1      0      0      0      0      0
        [,238] [,239] [,240] [,241] [,242] [,243] [,244] [,245] [,246] [,247]
   [1,]      0      0      0      0      0      0      0      0      1      1
   [2,]      0      1      0      0      0      0      0      1      0      0
   [3,]      1      0      0      0      1      0      0      0      0      1
   [4,]      1      0      0      0      0      0      1      0      0      0
   [5,]      1      1      0      1      0      0      0      0      0      0
   [6,]      0      0      1      0      0      0      1      0      0      0
   [7,]      1      1      0      0      1      0      0      0      0      0
   [8,]      0      0      0      1      0      0      0      0      0      1
   [9,]      0      1      0      0      1      1      0      0      0      0
  [10,]      0      0      1      0      0      0      0      0      1      1
        [,248] [,249] [,250] [,251] [,252] [,253] [,254] [,255] [,256] [,257]
   [1,]      0      1      0      0      0      1      1      1      1      0
   [2,]      0      1      0      0      0      1      1      1      0      1
   [3,]      1      1      0      0      0      1      0      0      0      0
   [4,]      0      0      0      0      0      0      0      0      0      0
   [5,]      0      1      0      0      0      1      0      0      0      0
   [6,]      0      1      0      0      1      0      0      0      0      0
   [7,]      0      1      0      1      0      0      0      0      0      0
   [8,]      1      0      0      0      1      1      0      1      0      1
   [9,]      1      0      0      0      1      0      1      1      0      1
  [10,]      1      0      0      1      1      0      0      1      0      0
        [,258] [,259] [,260] [,261] [,262] [,263] [,264] [,265] [,266] [,267]
   [1,]      1      0      0      0      0      0      0      0      1      1
   [2,]      0      0      0      0      0      1      0      0      0      0
   [3,]      0      0      1      0      0      0      0      1      0      0
   [4,]      0      0      1      1      0      0      1      1      1      0
   [5,]      0      1      0      0      0      1      0      0      1      0
   [6,]      0      0      1      1      0      0      0      0      0      0
   [7,]      1      0      1      1      0      0      0      1      0      1
   [8,]      0      1      0      1      0      0      1      1      0      0
   [9,]      1      0      0      0      1      0      1      0      1      0
  [10,]      0      1      0      0      1      1      1      0      0      0
        [,268] [,269] [,270] [,271] [,272] [,273] [,274] [,275] [,276] [,277]
   [1,]      1      0      0      0      0      0      0      0      0      0
   [2,]      1      0      0      1      0      0      1      0      0      0
   [3,]      0      0      0      1      1      0      1      0      0      0
   [4,]      0      0      0      1      0      1      1      0      1      0
   [5,]      0      1      0      0      0      1      1      0      0      0
   [6,]      0      0      1      0      0      0      0      1      0      0
   [7,]      0      0      0      0      1      0      0      0      0      0
   [8,]      0      0      0      0      1      1      0      0      0      0
   [9,]      0      1      1      1      1      0      0      0      0      1
  [10,]      0      0      0      1      1      0      0      0      0      0
        [,278] [,279] [,280] [,281] [,282] [,283] [,284] [,285] [,286] [,287]
   [1,]      0      0      0      0      0      1      0      1      1      1
   [2,]      0      0      0      1      0      0      0      0      0      0
   [3,]      0      0      0      0      0      1      0      1      1      0
   [4,]      0      0      1      1      0      0      1      0      1      0
   [5,]      1      1      0      1      1      0      0      0      0      0
   [6,]      0      0      0      0      0      0      0      0      0      0
   [7,]      0      0      1      0      0      0      1      0      0      0
   [8,]      0      0      0      0      0      0      0      0      1      0
   [9,]      1      0      0      0      0      0      0      0      0      0
  [10,]      0      0      0      0      1      0      0      0      0      1
        [,288] [,289] [,290] [,291] [,292] [,293] [,294] [,295] [,296] [,297]
   [1,]      0      0      0      0      0      0      0      0      0      0
   [2,]      0      0      0      0      0      0      0      0      0      0
   [3,]      0      0      0      0      1      0      1      0      0      1
   [4,]      1      0      0      0      0      1      0      0      1      0
   [5,]      0      1      1      0      1      0      0      1      0      0
   [6,]      0      0      0      0      0      0      0      1      0      1
   [7,]      0      0      1      1      0      0      1      0      0      0
   [8,]      1      0      0      1      0      0      1      0      0      0
   [9,]      0      0      0      1      0      0      0      0      1      0
  [10,]      0      0      0      1      0      0      0      1      0      1
        [,298] [,299] [,300] [,301] [,302] [,303] [,304] [,305] [,306] [,307]
   [1,]      0      0      1      0      0      0      0      0      0      0
   [2,]      0      0      0      0      0      1      0      0      0      0
   [3,]      0      0      0      1      1      0      1      0      0      0
   [4,]      0      0      0      1      0      1      0      0      0      0
   [5,]      0      0      0      0      0      0      1      0      0      0
   [6,]      1      0      0      0      0      1      0      0      0      0
   [7,]      0      0      0      0      0      1      0      0      1      1
   [8,]      0      0      1      1      0      1      1      1      0      0
   [9,]      0      0      1      1      0      0      0      0      0      0
  [10,]      0      1      0      0      0      0      1      0      0      0
        [,308] [,309] [,310] [,311] [,312] [,313] [,314] [,315] [,316] [,317]
   [1,]      0      1      0      1      0      0      0      1      0      0
   [2,]      0      1      1      0      1      1      0      1      1      0
   [3,]      0      0      1      1      0      0      1      0      0      1
   [4,]      0      0      0      0      1      1      1      1      1      0
   [5,]      0      0      0      1      0      0      0      1      0      0
   [6,]      0      0      0      0      1      0      1      1      0      0
   [7,]      1      0      1      1      1      1      1      0      0      0
   [8,]      1      0      0      1      1      0      1      0      1      0
   [9,]      0      0      0      0      0      0      0      0      1      1
  [10,]      1      0      0      0      0      0      0      0      0      0
        [,318] [,319] [,320] [,321] [,322] [,323] [,324] [,325] [,326] [,327]
   [1,]      0      0      0      1      1      0      0      0      0      0
   [2,]      1      0      1      1      0      0      0      1      0      0
   [3,]      1      0      0      0      0      0      1      0      0      0
   [4,]      1      0      1      0      0      0      0      0      1      0
   [5,]      0      1      0      0      1      0      1      0      1      0
   [6,]      0      0      0      0      0      0      0      1      0      0
   [7,]      0      0      1      1      1      0      0      1      0      0
   [8,]      0      0      0      0      0      0      0      0      1      1
   [9,]      1      1      0      1      1      0      0      0      0      0
  [10,]      0      1      0      0      0      0      0      1      0      0
        [,328] [,329] [,330] [,331] [,332] [,333] [,334] [,335] [,336] [,337]
   [1,]      0      0      0      1      0      1      0      1      0      0
   [2,]      1      1      0      0      0      0      0      0      0      1
   [3,]      0      1      1      0      0      0      0      1      0      0
   [4,]      0      1      0      0      1      1      0      0      0      0
   [5,]      0      1      0      0      0      0      1      1      0      0
   [6,]      1      0      0      0      0      0      0      0      1      0
   [7,]      1      0      1      1      0      1      1      0      1      0
   [8,]      1      0      0      0      0      0      1      0      0      0
   [9,]      0      0      1      1      0      1      0      0      1      0
  [10,]      0      1      0      0      0      0      0      0      0      0
        [,338] [,339] [,340] [,341] [,342] [,343] [,344] [,345] [,346] [,347]
   [1,]      1      1      0      0      1      0      0      0      0      0
   [2,]      1      0      0      1      0      0      1      1      1      0
   [3,]      1      0      0      0      0      0      0      0      0      1
   [4,]      1      1      1      0      0      0      1      0      0      0
   [5,]      0      0      1      0      0      1      0      0      0      0
   [6,]      0      1      0      0      1      0      0      0      0      0
   [7,]      0      0      0      1      1      1      1      0      0      0
   [8,]      1      0      1      1      0      0      0      1      0      0
   [9,]      0      0      1      0      0      0      0      0      1      0
  [10,]      0      0      0      0      0      0      0      1      0      0
        [,348] [,349] [,350] [,351] [,352] [,353] [,354] [,355] [,356] [,357]
   [1,]      0      0      1      0      1      0      1      1      1      0
   [2,]      1      0      0      0      0      0      1      1      0      1
   [3,]      0      1      0      0      0      1      1      0      0      0
   [4,]      0      1      0      0      1      0      0      0      0      0
   [5,]      0      0      0      0      0      0      0      1      0      0
   [6,]      0      0      1      0      0      1      0      0      0      0
   [7,]      0      1      0      0      1      1      1      0      0      0
   [8,]      0      0      0      0      0      0      0      0      0      1
   [9,]      1      0      0      0      1      0      1      0      0      0
  [10,]      0      1      0      0      0      1      0      0      0      1
        [,358] [,359] [,360] [,361] [,362] [,363] [,364] [,365] [,366] [,367]
   [1,]      0      1      1      0      0      0      0      0      0      0
   [2,]      0      0      0      0      0      1      0      0      0      0
   [3,]      0      0      1      0      1      0      0      0      0      0
   [4,]      1      0      0      0      1      0      0      0      1      1
   [5,]      0      0      0      0      0      0      1      1      0      0
   [6,]      1      0      0      1      0      0      0      0      0      0
   [7,]      0      0      0      0      1      0      0      0      0      0
   [8,]      0      0      0      0      0      0      0      1      0      0
   [9,]      1      0      0      0      1      0      0      0      0      1
  [10,]      0      0      0      0      0      0      1      0      0      0
        [,368] [,369] [,370] [,371] [,372] [,373] [,374] [,375] [,376] [,377]
   [1,]      0      0      0      0      0      1      1      1      1      0
   [2,]      0      0      1      0      0      0      0      0      0      0
   [3,]      0      0      1      0      0      0      0      0      1      0
   [4,]      0      0      0      1      0      0      0      0      0      0
   [5,]      0      0      0      1      0      1      0      0      0      0
   [6,]      0      0      0      0      0      1      0      1      0      0
   [7,]      0      0      0      1      0      0      1      1      0      1
   [8,]      0      0      0      0      0      0      0      0      0      0
   [9,]      0      0      1      0      0      1      0      1      0      1
  [10,]      0      0      1      0      1      0      0      1      1      0
        [,378] [,379] [,380] [,381] [,382] [,383] [,384] [,385] [,386] [,387]
   [1,]      0      0      0      0      0      0      0      0      0      0
   [2,]      0      0      0      0      0      1      0      1      0      0
   [3,]      1      1      0      0      0      0      0      0      0      0
   [4,]      0      0      0      0      0      0      1      0      0      1
   [5,]      0      0      0      1      1      0      0      0      0      0
   [6,]      0      0      0      0      0      0      0      0      0      0
   [7,]      0      0      0      0      1      0      0      0      0      0
   [8,]      0      0      0      0      0      1      0      0      0      1
   [9,]      1      1      0      1      1      0      1      1      0      0
  [10,]      0      1      0      0      0      0      0      0      0      1
        [,388] [,389] [,390] [,391] [,392] [,393] [,394] [,395] [,396] [,397]
   [1,]      0      0      0      0      0      1      1      0      0      0
   [2,]      1      0      0      0      0      1      0      0      1      1
   [3,]      0      0      0      1      0      1      1      0      0      0
   [4,]      0      1      0      0      0      1      0      0      1      0
   [5,]      0      0      0      0      0      0      0      0      0      0
   [6,]      1      0      0      0      0      1      0      0      1      0
   [7,]      0      1      0      0      0      0      0      0      0      0
   [8,]      1      0      0      1      0      1      0      1      1      0
   [9,]      1      1      0      1      1      1      1      0      1      0
  [10,]      1      1      1      1      0      1      0      1      1      0
        [,398] [,399] [,400] [,401] [,402] [,403] [,404] [,405] [,406] [,407]
   [1,]      0      0      1      0      0      1      0      0      0      1
   [2,]      0      0      0      0      0      0      0      0      0      0
   [3,]      1      1      0      0      1      0      0      1      1      0
   [4,]      1      1      1      0      0      0      0      0      0      0
   [5,]      1      0      0      0      1      0      0      0      0      0
   [6,]      0      0      1      0      0      0      0      0      0      0
   [7,]      0      0      0      0      0      1      0      0      0      0
   [8,]      1      0      0      0      0      0      0      0      0      0
   [9,]      0      0      0      0      1      1      1      1      0      0
  [10,]      0      0      0      1      0      0      0      0      0      0
        [,408] [,409] [,410] [,411] [,412] [,413] [,414] [,415] [,416] [,417]
   [1,]      0      0      0      0      1      1      1      0      0      1
   [2,]      0      0      0      0      1      0      0      1      0      1
   [3,]      0      0      1      0      1      1      0      0      1      1
   [4,]      1      1      1      0      0      0      1      0      0      0
   [5,]      1      0      0      0      0      0      0      0      0      0
   [6,]      0      1      0      1      1      0      0      0      0      0
   [7,]      1      1      0      0      0      0      0      1      0      1
   [8,]      0      0      0      1      0      1      0      0      1      0
   [9,]      1      1      0      0      0      1      0      0      1      1
  [10,]      0      0      0      0      0      0      0      0      0      0
        [,418] [,419] [,420] [,421] [,422] [,423] [,424] [,425] [,426] [,427]
   [1,]      0      0      0      1      1      1      0      0      0      1
   [2,]      0      1      0      1      0      0      1      0      1      1
   [3,]      0      0      0      0      1      0      0      0      0      0
   [4,]      0      1      0      1      1      0      0      1      0      1
   [5,]      0      0      0      0      1      0      1      0      0      0
   [6,]      1      0      0      0      1      1      1      0      0      0
   [7,]      1      0      0      0      0      0      1      0      1      0
   [8,]      1      1      0      0      0      1      0      0      1      1
   [9,]      0      1      1      1      0      1      0      1      0      1
  [10,]      0      0      0      0      1      0      0      0      0      0
        [,428] [,429] [,430] [,431] [,432] [,433] [,434] [,435] [,436] [,437]
   [1,]      1      0      0      1      0      0      0      1      0      0
   [2,]      1      0      0      1      1      0      0      0      0      0
   [3,]      0      1      1      0      1      1      0      0      0      0
   [4,]      1      0      1      0      0      1      0      0      0      0
   [5,]      0      0      0      0      0      0      0      1      0      0
   [6,]      0      0      1      0      0      1      1      0      1      0
   [7,]      1      0      0      0      0      0      0      1      0      0
   [8,]      1      0      0      0      1      1      0      0      0      0
   [9,]      1      1      0      0      1      0      0      0      0      1
  [10,]      0      0      1      0      1      0      0      0      0      0
        [,438] [,439] [,440] [,441] [,442] [,443] [,444] [,445] [,446] [,447]
   [1,]      0      0      0      0      0      0      0      0      1      1
   [2,]      0      0      0      0      1      0      0      0      1      0
   [3,]      0      1      0      0      1      0      0      0      0      0
   [4,]      0      0      0      0      0      0      0      0      0      0
   [5,]      1      0      0      0      0      0      1      0      1      0
   [6,]      0      1      1      0      1      0      1      1      1      0
   [7,]      0      0      1      1      0      0      0      0      0      0
   [8,]      1      0      0      0      0      0      0      0      0      0
   [9,]      0      0      1      0      0      1      0      0      0      0
  [10,]      0      0      0      0      0      0      0      1      1      0
        [,448] [,449] [,450] [,451] [,452] [,453] [,454] [,455] [,456] [,457]
   [1,]      0      0      1      1      0      0      0      0      1      1
   [2,]      0      0      0      0      1      1      1      1      1      1
   [3,]      0      0      0      0      0      0      0      1      1      0
   [4,]      1      0      0      1      1      0      0      0      1      0
   [5,]      0      0      0      1      0      0      0      0      1      0
   [6,]      1      0      0      0      0      1      0      1      0      1
   [7,]      0      0      0      0      0      0      0      0      0      0
   [8,]      0      1      0      0      0      0      1      0      0      1
   [9,]      0      0      1      0      0      0      1      0      0      0
  [10,]      1      1      1      0      1      0      1      0      0      1
        [,458] [,459] [,460] [,461] [,462] [,463] [,464] [,465] [,466] [,467]
   [1,]      0      1      1      0      1      1      0      0      0      0
   [2,]      0      0      1      0      1      0      0      0      0      0
   [3,]      1      1      0      1      1      0      1      0      1      0
   [4,]      0      0      0      0      0      0      1      0      0      0
   [5,]      1      0      0      0      0      1      1      0      0      0
   [6,]      0      1      1      0      1      0      0      0      0      0
   [7,]      0      0      1      0      0      1      1      1      1      0
   [8,]      0      0      0      1      0      0      1      0      0      0
   [9,]      1      0      0      0      0      0      0      0      0      0
  [10,]      0      1      0      1      0      0      1      1      0      0
        [,468] [,469] [,470] [,471] [,472] [,473] [,474] [,475] [,476] [,477]
   [1,]      1      0      1      1      0      0      0      0      0      0
   [2,]      0      1      0      0      0      0      0      0      0      0
   [3,]      0      0      0      1      1      0      1      0      0      0
   [4,]      0      0      0      1      0      0      0      1      0      1
   [5,]      0      0      0      0      0      0      0      0      0      1
   [6,]      0      0      0      0      0      0      0      1      1      0
   [7,]      1      0      1      1      0      0      0      0      0      0
   [8,]      0      0      0      0      0      0      0      0      0      0
   [9,]      1      0      0      1      0      1      0      0      0      0
  [10,]      0      0      0      1      0      0      0      0      0      1
        [,478] [,479] [,480] [,481] [,482] [,483] [,484] [,485] [,486] [,487]
   [1,]      0      0      0      0      0      0      0      0      1      0
   [2,]      0      0      0      0      0      0      0      1      1      0
   [3,]      1      0      0      1      0      0      0      0      0      0
   [4,]      1      0      0      0      0      1      1      0      0      1
   [5,]      1      0      0      0      1      1      0      0      0      1
   [6,]      0      1      0      1      0      1      0      0      0      0
   [7,]      0      0      0      0      0      0      0      0      1      0
   [8,]      0      0      0      0      0      1      0      0      0      0
   [9,]      0      0      0      0      0      0      0      0      1      0
  [10,]      0      0      0      1      1      0      0      0      0      1
        [,488] [,489] [,490] [,491] [,492] [,493] [,494] [,495] [,496] [,497]
   [1,]      0      0      1      1      0      0      0      1      0      0
   [2,]      0      0      0      0      0      0      0      0      1      0
   [3,]      0      0      0      1      0      0      0      0      0      0
   [4,]      0      0      0      0      0      0      1      0      1      0
   [5,]      1      0      1      0      0      0      0      1      1      0
   [6,]      0      0      0      0      0      1      1      0      0      1
   [7,]      0      0      0      1      0      0      0      0      0      1
   [8,]      1      1      1      1      0      1      0      1      0      1
   [9,]      0      0      0      0      1      1      1      0      0      0
  [10,]      0      0      1      0      0      1      0      1      0      1
        [,498] [,499] [,500] [,501] [,502] [,503] [,504] [,505] [,506] [,507]
   [1,]      1      0      0      0      0      0      1      0      0      0
   [2,]      1      0      0      1      0      1      0      0      0      0
   [3,]      1      0      1      0      0      0      0      0      0      1
   [4,]      0      0      0      0      0      0      0      0      0      1
   [5,]      0      0      0      0      0      0      1      1      1      0
   [6,]      0      0      0      1      0      1      1      0      0      0
   [7,]      0      0      0      0      0      1      0      1      0      0
   [8,]      0      0      0      0      0      0      0      0      0      1
   [9,]      0      0      0      0      1      0      0      0      0      1
  [10,]      0      0      0      1      0      1      0      0      1      1
        [,508] [,509] [,510] [,511] [,512] [,513] [,514] [,515] [,516] [,517]
   [1,]      1      1      1      0      0      0      0      1      1      1
   [2,]      0      0      0      0      0      1      0      1      0      0
   [3,]      0      0      1      1      0      0      1      1      1      1
   [4,]      1      0      0      0      0      0      1      0      1      1
   [5,]      1      0      0      0      0      0      1      0      1      1
   [6,]      0      0      0      1      1      0      0      0      1      0
   [7,]      1      0      0      1      0      0      1      0      0      1
   [8,]      0      0      0      1      0      1      0      1      1      1
   [9,]      0      0      0      1      0      0      0      0      0      0
  [10,]      1      0      0      1      0      0      0      0      0      0
        [,518] [,519] [,520] [,521] [,522] [,523] [,524] [,525] [,526] [,527]
   [1,]      0      1      0      0      0      0      1      0      0      1
   [2,]      0      1      0      0      0      0      0      0      1      0
   [3,]      1      0      1      1      1      0      1      0      0      0
   [4,]      0      0      0      0      0      0      1      1      0      1
   [5,]      0      0      0      0      1      1      0      0      0      0
   [6,]      1      1      0      0      1      0      0      0      0      0
   [7,]      0      0      1      0      1      1      0      1      0      0
   [8,]      0      0      0      1      0      1      0      0      0      0
   [9,]      0      0      1      0      0      0      0      0      0      1
  [10,]      0      1      0      0      0      1      0      0      1      0
        [,528] [,529] [,530] [,531] [,532] [,533] [,534] [,535] [,536] [,537]
   [1,]      1      0      0      1      0      0      0      0      0      0
   [2,]      0      0      1      0      0      0      1      1      0      0
   [3,]      0      0      0      0      0      0      0      0      0      0
   [4,]      0      0      0      1      0      0      0      0      0      0
   [5,]      0      0      0      0      0      0      0      0      0      0
   [6,]      0      0      0      0      0      1      0      0      0      0
   [7,]      0      0      0      0      0      0      0      0      0      0
   [8,]      1      1      1      1      1      0      1      0      0      0
   [9,]      0      1      0      0      0      0      0      1      0      0
  [10,]      0      0      0      0      0      1      1      0      0      1
        [,538] [,539] [,540] [,541] [,542] [,543] [,544] [,545] [,546] [,547]
   [1,]      0      0      0      1      1      0      0      0      0      0
   [2,]      1      1      0      0      0      1      0      0      0      0
   [3,]      1      1      0      1      0      0      0      1      1      1
   [4,]      0      0      0      0      0      1      0      0      0      0
   [5,]      0      0      1      0      0      0      0      0      0      0
   [6,]      1      0      1      0      0      0      0      0      0      0
   [7,]      1      0      0      0      0      0      1      0      0      0
   [8,]      0      0      0      1      0      0      0      0      0      0
   [9,]      1      0      0      0      1      0      0      0      0      0
  [10,]      0      0      0      0      0      1      0      1      0      0
        [,548] [,549] [,550] [,551] [,552] [,553] [,554] [,555] [,556] [,557]
   [1,]      0      0      1      0      0      0      0      0      0      0
   [2,]      0      0      0      0      1      0      0      0      0      0
   [3,]      0      0      1      0      0      1      0      0      0      0
   [4,]      1      0      0      0      1      0      0      0      0      0
   [5,]      0      0      0      0      1      0      0      0      0      1
   [6,]      0      0      0      1      0      1      0      0      0      1
   [7,]      0      1      0      0      0      0      1      0      0      1
   [8,]      0      0      0      0      0      0      0      0      0      0
   [9,]      1      1      0      0      0      0      1      0      1      0
  [10,]      0      1      1      1      0      0      0      0      0      1
        [,558] [,559] [,560] [,561] [,562] [,563] [,564] [,565] [,566] [,567]
   [1,]      0      1      1      1      0      0      0      0      0      1
   [2,]      1      0      0      1      0      0      1      0      1      1
   [3,]      0      0      0      0      0      0      1      0      0      0
   [4,]      1      1      0      0      0      0      0      0      0      1
   [5,]      1      0      0      1      0      1      0      1      0      0
   [6,]      1      1      0      1      1      0      0      0      0      1
   [7,]      1      1      0      0      0      0      1      0      0      0
   [8,]      0      0      0      0      0      0      1      0      0      0
   [9,]      1      0      0      1      1      0      0      0      0      0
  [10,]      0      0      0      0      0      1      0      0      1      1
        [,568] [,569] [,570] [,571] [,572] [,573] [,574] [,575] [,576] [,577]
   [1,]      1      0      1      1      0      0      1      0      0      0
   [2,]      1      0      0      0      0      0      0      0      0      0
   [3,]      0      0      0      0      0      0      0      0      0      0
   [4,]      1      1      0      0      0      0      0      1      0      0
   [5,]      1      0      0      0      1      0      0      0      0      1
   [6,]      0      1      1      0      1      1      1      1      0      1
   [7,]      0      0      0      1      1      0      0      0      0      0
   [8,]      1      0      0      0      0      1      0      1      0      0
   [9,]      0      0      0      0      1      0      0      0      0      0
  [10,]      1      0      0      0      0      1      0      1      0      1
        [,578] [,579] [,580] [,581] [,582] [,583] [,584] [,585] [,586] [,587]
   [1,]      0      1      0      0      0      0      0      0      1      0
   [2,]      0      0      0      1      0      0      0      0      0      0
   [3,]      0      0      0      0      0      0      0      1      0      0
   [4,]      0      0      0      0      0      0      0      0      1      0
   [5,]      0      0      0      1      0      0      0      0      0      0
   [6,]      0      0      1      0      0      0      1      1      1      0
   [7,]      0      1      0      0      1      0      1      0      0      0
   [8,]      1      0      1      0      0      0      1      1      1      0
   [9,]      1      0      1      1      0      0      0      1      1      0
  [10,]      0      0      1      0      1      0      0      0      1      0
        [,588] [,589] [,590] [,591] [,592] [,593] [,594] [,595] [,596] [,597]
   [1,]      0      0      1      0      0      1      0      0      0      1
   [2,]      0      0      0      0      1      0      0      0      0      0
   [3,]      0      0      0      1      0      0      0      0      0      0
   [4,]      0      1      0      0      0      0      0      0      0      0
   [5,]      0      0      0      0      1      1      0      1      0      0
   [6,]      0      1      1      0      0      0      0      1      0      0
   [7,]      0      1      1      0      0      1      0      0      0      1
   [8,]      0      0      0      1      0      0      0      0      0      0
   [9,]      0      1      0      0      0      1      0      0      0      0
  [10,]      1      1      0      0      0      0      0      1      0      1
        [,598] [,599] [,600] [,601] [,602] [,603] [,604] [,605] [,606] [,607]
   [1,]      0      0      0      0      0      0      0      0      0      0
   [2,]      1      1      0      1      1      0      0      0      0      0
   [3,]      1      0      1      0      0      1      1      0      0      0
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   [5,]      0      0      0      0      1      0      1      0      0      0
   [6,]      1      0      0      0      0      0      0      0      0      0
   [7,]      0      0      0      0      0      0      0      0      0      1
   [8,]      0      0      1      1      0      1      0      0      0      0
   [9,]      0      1      0      1      0      0      0      0      0      0
  [10,]      0      1      1      1      1      0      0      0      1      0
        [,608] [,609] [,610] [,611] [,612] [,613] [,614] [,615] [,616] [,617]
   [1,]      1      0      0      0      0      0      1      0      0      0
   [2,]      0      0      0      0      1      0      1      1      1      1
   [3,]      0      0      0      0      0      0      0      0      0      0
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   [5,]      1      0      1      0      0      0      0      0      0      1
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   [7,]      0      0      0      1      0      1      0      1      0      0
   [8,]      1      0      1      0      0      0      0      0      0      0
   [9,]      1      0      0      1      0      0      1      0      0      0
  [10,]      0      0      0      0      0      0      0      0      0      0
        [,618] [,619] [,620] [,621] [,622] [,623] [,624] [,625] [,626] [,627]
   [1,]      0      0      0      0      0      0      0      1      1      1
   [2,]      0      1      1      0      0      0      0      0      0      0
   [3,]      0      0      0      0      0      0      0      0      1      0
   [4,]      0      1      1      0      0      0      1      0      0      0
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   [8,]      0      0      0      1      0      1      0      1      0      0
   [9,]      0      1      1      1      1      0      0      0      1      0
  [10,]      0      0      0      0      1      0      0      0      1      1
        [,628] [,629] [,630] [,631] [,632] [,633] [,634] [,635] [,636] [,637]
   [1,]      1      0      1      0      0      0      0      0      1      0
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   [3,]      0      0      0      0      0      0      0      0      1      0
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   [6,]      1      0      1      0      0      1      1      0      0      1
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   [9,]      0      0      0      0      0      0      0      0      0      0
  [10,]      0      0      0      0      0      0      0      0      0      1
        [,638] [,639] [,640] [,641] [,642] [,643] [,644] [,645] [,646] [,647]
   [1,]      1      0      0      0      1      0      0      0      0      0
   [2,]      0      1      1      0      0      1      0      1      0      1
   [3,]      0      0      0      0      0      0      0      0      1      1
   [4,]      0      0      0      0      0      1      0      0      0      0
   [5,]      1      1      1      0      0      0      1      1      0      0
   [6,]      0      0      1      0      0      1      0      0      0      0
   [7,]      0      0      1      0      0      0      0      0      0      0
   [8,]      0      1      0      0      0      0      0      0      0      0
   [9,]      1      1      1      0      1      0      0      0      0      0
  [10,]      0      0      0      0      0      0      0      1      0      0
        [,648] [,649] [,650] [,651] [,652] [,653] [,654] [,655] [,656] [,657]
   [1,]      0      0      0      0      0      0      1      0      0      0
   [2,]      0      0      0      1      0      0      0      1      0      1
   [3,]      1      0      0      1      0      1      0      1      1      0
   [4,]      0      0      0      0      0      1      0      0      0      1
   [5,]      0      0      0      1      0      0      0      0      0      0
   [6,]      0      1      1      0      0      1      0      1      1      0
   [7,]      1      0      0      0      0      0      0      1      1      1
   [8,]      0      0      1      0      0      0      0      0      0      0
   [9,]      0      0      1      0      0      0      0      0      0      0
  [10,]      0      0      0      1      0      1      0      0      1      0
        [,658] [,659] [,660] [,661] [,662] [,663] [,664] [,665] [,666] [,667]
   [1,]      0      0      0      0      0      1      1      0      0      0
   [2,]      0      0      0      0      0      1      1      0      0      0
   [3,]      0      0      0      0      0      0      1      0      0      1
   [4,]      0      0      0      0      0      0      0      0      0      0
   [5,]      0      0      0      1      0      0      1      0      0      1
   [6,]      0      0      0      0      0      1      1      0      0      1
   [7,]      0      1      0      0      1      1      1      1      0      1
   [8,]      0      0      0      0      0      0      0      0      0      0
   [9,]      0      0      0      0      0      0      1      1      1      0
  [10,]      0      0      1      0      0      0      0      1      0      0
        [,668] [,669] [,670] [,671] [,672] [,673] [,674] [,675] [,676] [,677]
   [1,]      0      1      0      0      0      0      0      0      0      1
   [2,]      1      0      0      1      0      0      0      0      0      0
   [3,]      1      1      0      0      0      0      0      1      1      0
   [4,]      0      0      0      1      1      1      0      1      0      0
   [5,]      1      0      1      0      1      1      0      1      0      0
   [6,]      1      0      0      0      0      1      1      0      0      0
   [7,]      0      0      0      1      0      0      0      0      1      0
   [8,]      0      0      1      0      0      1      1      0      0      0
   [9,]      0      0      1      0      1      0      1      0      1      0
  [10,]      0      0      0      0      0      0      0      0      0      1
        [,678] [,679] [,680] [,681] [,682] [,683] [,684] [,685] [,686] [,687]
   [1,]      0      0      0      1      1      0      0      0      0      0
   [2,]      1      1      0      0      0      0      1      1      1      0
   [3,]      0      0      0      1      0      0      1      0      0      0
   [4,]      0      1      0      0      0      0      0      0      1      0
   [5,]      0      1      0      0      0      0      0      0      0      1
   [6,]      0      0      0      1      0      1      1      1      0      0
   [7,]      0      1      0      0      0      1      1      0      0      1
   [8,]      0      0      0      0      0      0      0      1      0      0
   [9,]      1      0      0      1      0      0      0      1      1      0
  [10,]      0      0      0      1      1      0      0      0      0      1
        [,688] [,689] [,690] [,691] [,692] [,693] [,694] [,695] [,696] [,697]
   [1,]      1      0      0      0      0      1      1      0      0      0
   [2,]      0      1      0      1      0      0      1      1      0      0
   [3,]      0      1      1      0      0      1      1      0      0      1
   [4,]      0      0      1      0      0      0      1      1      0      0
   [5,]      0      0      0      1      1      1      0      1      0      0
   [6,]      0      1      0      0      1      1      1      1      0      0
   [7,]      0      0      0      0      0      0      0      0      0      0
   [8,]      0      1      0      0      0      0      1      1      0      1
   [9,]      0      0      1      0      1      1      0      0      0      0
  [10,]      1      0      1      1      0      0      1      0      0      0
        [,698] [,699] [,700] [,701] [,702] [,703] [,704] [,705] [,706] [,707]
   [1,]      1      0      0      0      0      0      0      1      1      0
   [2,]      0      0      0      0      0      0      0      0      0      0
   [3,]      0      1      1      0      0      0      0      0      1      0
   [4,]      0      0      0      1      0      1      1      0      1      0
   [5,]      1      0      0      1      1      1      0      1      1      0
   [6,]      0      0      0      1      1      1      0      0      0      1
   [7,]      1      0      0      0      0      1      0      1      1      0
   [8,]      1      1      0      0      0      1      0      0      1      1
   [9,]      0      0      0      1      0      0      0      0      1      1
  [10,]      0      1      0      0      0      0      0      1      0      1
        [,708] [,709] [,710] [,711] [,712] [,713] [,714] [,715] [,716] [,717]
   [1,]      1      1      0      0      0      0      0      1      1      1
   [2,]      1      0      0      0      1      0      1      0      0      0
   [3,]      0      0      0      0      0      0      0      0      0      0
   [4,]      1      0      0      0      0      1      0      0      0      1
   [5,]      1      0      0      0      0      0      1      0      1      0
   [6,]      0      0      0      0      0      0      1      1      0      0
   [7,]      1      0      0      0      0      1      0      0      1      1
   [8,]      0      1      0      0      0      0      0      0      1      0
   [9,]      1      0      0      0      0      0      1      0      0      0
  [10,]      0      0      0      0      1      1      1      0      0      0
        [,718] [,719] [,720] [,721] [,722] [,723] [,724] [,725] [,726] [,727]
   [1,]      0      0      0      0      0      1      0      1      0      0
   [2,]      0      0      1      0      1      1      0      0      0      0
   [3,]      0      0      1      0      0      0      1      0      1      0
   [4,]      0      0      0      0      0      0      1      0      0      1
   [5,]      1      1      0      0      0      0      0      0      1      0
   [6,]      0      0      1      1      1      0      0      1      1      1
   [7,]      1      1      1      0      0      0      0      0      0      1
   [8,]      1      0      0      1      0      0      0      0      0      0
   [9,]      0      0      0      0      0      0      0      1      1      0
  [10,]      0      1      1      0      0      0      0      1      0      0
        [,728] [,729] [,730] [,731] [,732] [,733] [,734] [,735] [,736] [,737]
   [1,]      0      1      1      0      1      0      1      0      1      0
   [2,]      1      0      0      0      0      0      0      0      1      0
   [3,]      0      0      0      0      1      0      0      0      1      0
   [4,]      0      0      1      0      1      0      0      1      1      0
   [5,]      0      0      0      0      0      0      0      0      1      0
   [6,]      0      0      0      0      0      1      0      1      0      0
   [7,]      0      0      0      0      0      1      0      0      0      0
   [8,]      0      0      0      0      0      1      1      0      0      0
   [9,]      0      0      0      0      1      0      0      0      0      0
  [10,]      0      0      0      0      0      0      1      1      1      1
        [,738] [,739] [,740] [,741] [,742] [,743] [,744] [,745] [,746] [,747]
   [1,]      1      0      0      0      0      1      0      0      0      1
   [2,]      0      0      0      0      0      0      1      0      0      0
   [3,]      0      0      0      0      0      0      1      0      0      0
   [4,]      1      0      1      0      1      1      1      0      1      0
   [5,]      0      1      0      1      0      0      0      0      0      0
   [6,]      0      0      0      0      0      0      0      1      0      0
   [7,]      1      0      0      1      0      1      1      0      0      0
   [8,]      0      0      0      0      0      1      0      1      0      0
   [9,]      0      1      1      0      1      1      1      1      0      0
  [10,]      0      1      0      0      0      0      0      1      0      0
        [,748] [,749] [,750] [,751] [,752] [,753] [,754] [,755] [,756] [,757]
   [1,]      1      0      0      0      0      1      1      0      1      0
   [2,]      0      0      0      1      0      0      0      1      0      0
   [3,]      0      1      0      0      0      0      1      0      1      0
   [4,]      0      0      0      1      1      0      1      0      0      0
   [5,]      0      0      1      0      0      0      0      0      1      0
   [6,]      0      0      1      0      1      0      0      0      0      0
   [7,]      1      0      0      0      0      1      1      1      0      0
   [8,]      0      0      0      0      1      0      0      0      0      1
   [9,]      1      0      0      0      0      0      1      1      0      0
  [10,]      0      0      0      1      1      0      0      0      0      0
        [,758] [,759] [,760] [,761] [,762] [,763] [,764] [,765] [,766] [,767]
   [1,]      0      0      0      0      0      1      0      0      0      1
   [2,]      1      0      0      1      0      0      0      1      1      0
   [3,]      0      0      1      0      1      0      1      0      0      0
   [4,]      0      0      0      0      0      0      0      0      0      0
   [5,]      0      0      0      1      0      1      0      0      0      0
   [6,]      0      0      0      0      0      1      1      0      0      1
   [7,]      1      1      0      1      1      0      1      1      0      0
   [8,]      0      1      0      0      0      0      0      0      0      0
   [9,]      0      0      0      0      0      0      0      0      0      0
  [10,]      0      1      1      0      0      1      0      1      0      0
        [,768] [,769] [,770] [,771] [,772] [,773] [,774] [,775] [,776] [,777]
   [1,]      0      0      0      0      0      0      1      0      0      0
   [2,]      0      1      0      1      0      0      1      1      0      1
   [3,]      0      0      0      1      1      0      0      0      0      0
   [4,]      0      0      0      0      0      0      0      0      1      0
   [5,]      0      0      1      0      1      1      0      0      1      0
   [6,]      0      0      0      0      0      0      0      0      0      0
   [7,]      0      0      1      0      0      0      0      0      0      0
   [8,]      0      1      0      0      0      0      0      0      0      0
   [9,]      0      0      0      0      0      1      0      0      0      0
  [10,]      0      0      1      0      0      0      0      0      1      0
        [,778] [,779] [,780] [,781] [,782] [,783] [,784] [,785] [,786] [,787]
   [1,]      1      0      1      0      0      1      0      1      0      0
   [2,]      1      0      0      1      0      0      1      0      0      1
   [3,]      0      0      0      0      0      0      0      0      0      0
   [4,]      1      0      1      0      0      1      0      0      0      1
   [5,]      0      0      0      0      0      0      1      0      0      0
   [6,]      0      0      0      1      0      0      1      0      0      0
   [7,]      0      1      1      0      1      0      0      0      0      0
   [8,]      0      0      0      0      0      0      1      0      0      0
   [9,]      0      1      0      0      1      1      0      0      0      0
  [10,]      0      0      0      0      0      0      0      0      1      1
        [,788] [,789] [,790] [,791] [,792] [,793] [,794] [,795] [,796] [,797]
   [1,]      0      0      0      1      1      0      1      1      0      0
   [2,]      0      0      0      0      1      0      0      1      0      0
   [3,]      0      1      1      1      0      0      1      0      0      0
   [4,]      0      0      0      0      0      0      0      0      0      0
   [5,]      0      0      0      1      0      0      0      0      0      0
   [6,]      1      0      1      0      1      0      0      1      0      0
   [7,]      0      1      1      0      0      0      1      0      0      0
   [8,]      0      0      0      0      0      0      0      0      0      0
   [9,]      0      0      0      0      0      0      0      0      0      0
  [10,]      0      0      0      0      1      0      0      0      0      1
        [,798] [,799] [,800] [,801] [,802] [,803] [,804] [,805] [,806] [,807]
   [1,]      1      0      0      0      1      0      1      0      0      1
   [2,]      1      0      1      0      1      0      0      0      1      0
   [3,]      1      0      0      0      0      1      0      0      1      0
   [4,]      0      0      0      0      0      1      1      1      0      1
   [5,]      1      0      0      0      1      0      1      0      0      0
   [6,]      1      0      0      0      0      0      0      0      1      0
   [7,]      1      0      1      1      0      0      1      1      1      0
   [8,]      0      1      0      0      0      0      0      0      0      1
   [9,]      0      1      1      0      1      1      0      0      1      0
  [10,]      0      1      1      0      0      0      1      1      0      0
        [,808] [,809] [,810] [,811] [,812] [,813] [,814] [,815] [,816] [,817]
   [1,]      0      0      0      0      0      0      0      0      1      1
   [2,]      1      0      0      0      1      1      1      0      0      1
   [3,]      1      0      0      0      0      0      0      0      1      0
   [4,]      0      0      0      0      0      0      0      0      1      0
   [5,]      0      0      0      0      0      0      0      0      0      0
   [6,]      1      0      1      0      1      0      0      0      1      0
   [7,]      1      0      0      0      0      0      1      1      0      1
   [8,]      0      0      0      0      1      0      1      0      0      0
   [9,]      0      0      0      0      0      0      0      1      0      1
  [10,]      0      1      0      0      0      0      0      0      0      0
        [,818] [,819] [,820] [,821] [,822] [,823] [,824] [,825] [,826] [,827]
   [1,]      0      0      0      0      0      0      0      0      0      1
   [2,]      0      0      0      0      0      0      1      0      0      1
   [3,]      1      0      1      0      0      1      0      0      0      0
   [4,]      0      1      0      0      0      1      0      0      0      0
   [5,]      0      1      1      0      0      1      0      1      0      0
   [6,]      1      0      1      0      0      1      0      0      0      1
   [7,]      0      1      1      0      0      0      1      0      0      1
   [8,]      0      0      1      0      0      0      0      1      0      0
   [9,]      0      1      1      1      0      1      0      1      0      1
  [10,]      0      0      0      0      1      0      1      0      0      0
        [,828] [,829] [,830] [,831] [,832] [,833] [,834] [,835] [,836] [,837]
   [1,]      0      0      0      0      1      0      0      0      1      0
   [2,]      0      0      0      0      0      0      0      0      0      1
   [3,]      0      1      0      0      1      0      0      0      0      0
   [4,]      0      1      1      0      0      0      0      1      0      0
   [5,]      0      0      1      0      0      0      0      0      0      0
   [6,]      1      0      0      1      0      1      0      1      0      0
   [7,]      0      1      0      0      0      0      0      1      1      0
   [8,]      0      1      0      0      0      0      0      0      0      0
   [9,]      0      0      0      0      0      1      0      0      1      1
  [10,]      0      0      0      0      1      1      0      0      1      0
        [,838] [,839] [,840] [,841] [,842] [,843] [,844] [,845] [,846] [,847]
   [1,]      1      1      0      0      0      0      1      0      0      1
   [2,]      0      0      0      1      0      0      0      0      0      0
   [3,]      0      0      1      0      0      0      0      0      1      0
   [4,]      0      0      0      0      0      0      0      1      1      0
   [5,]      0      0      1      0      0      1      1      0      0      0
   [6,]      0      1      0      0      0      0      0      0      0      0
   [7,]      0      0      0      0      0      0      0      0      0      0
   [8,]      0      0      0      0      0      1      0      0      1      0
   [9,]      0      1      0      1      0      0      0      0      1      0
  [10,]      0      0      1      1      0      0      0      0      0      0
        [,848] [,849] [,850] [,851] [,852] [,853] [,854] [,855] [,856] [,857]
   [1,]      0      0      0      1      0      0      0      0      0      0
   [2,]      0      0      0      1      1      0      0      0      0      1
   [3,]      0      1      0      0      0      0      0      1      0      0
   [4,]      0      0      0      0      0      0      0      0      1      0
   [5,]      0      1      0      0      0      0      0      0      0      1
   [6,]      0      0      0      0      0      1      0      0      0      0
   [7,]      0      0      0      0      0      0      1      1      0      0
   [8,]      0      1      0      1      1      0      1      1      0      0
   [9,]      0      0      1      0      0      0      0      0      0      1
  [10,]      1      0      0      1      0      0      0      0      0      0
        [,858] [,859] [,860] [,861] [,862] [,863] [,864] [,865] [,866] [,867]
   [1,]      0      0      0      0      1      1      1      0      0      0
   [2,]      0      0      1      0      1      0      0      0      1      0
   [3,]      1      1      0      0      1      0      0      0      0      1
   [4,]      0      0      0      0      1      1      0      0      1      1
   [5,]      0      0      1      1      1      0      1      1      0      1
   [6,]      0      0      1      0      0      0      0      0      1      0
   [7,]      0      0      0      1      0      0      0      0      0      0
   [8,]      0      0      0      0      0      0      1      0      0      0
   [9,]      0      1      0      0      0      0      0      0      0      1
  [10,]      1      0      0      1      0      0      0      0      1      0
        [,868] [,869] [,870] [,871] [,872] [,873] [,874] [,875] [,876] [,877]
   [1,]      0      0      1      0      0      0      0      0      1      0
   [2,]      1      0      0      0      0      0      0      0      0      1
   [3,]      0      1      0      1      0      0      0      0      0      1
   [4,]      0      1      0      0      0      0      1      0      0      0
   [5,]      1      0      0      0      1      0      0      0      0      1
   [6,]      0      0      0      0      1      0      0      0      0      0
   [7,]      1      1      1      0      0      1      1      0      0      0
   [8,]      1      0      0      0      0      1      0      1      0      1
   [9,]      0      0      0      0      0      1      0      1      0      0
  [10,]      0      1      1      0      0      0      1      1      0      1
        [,878] [,879] [,880] [,881] [,882] [,883] [,884] [,885] [,886] [,887]
   [1,]      0      0      0      1      0      0      0      0      0      0
   [2,]      1      0      0      0      0      0      0      0      0      0
   [3,]      1      0      1      0      0      0      0      0      0      0
   [4,]      0      0      1      1      1      0      0      0      0      0
   [5,]      0      1      1      1      0      0      0      0      0      0
   [6,]      0      1      0      1      0      0      0      0      1      1
   [7,]      1      0      0      0      0      1      1      0      0      0
   [8,]      1      0      0      0      0      0      0      0      1      0
   [9,]      0      0      0      0      0      0      1      1      0      0
  [10,]      0      0      0      0      0      1      1      1      1      1
        [,888] [,889] [,890] [,891] [,892] [,893] [,894] [,895] [,896] [,897]
   [1,]      1      0      0      0      0      1      0      1      0      0
   [2,]      1      0      0      0      0      0      0      1      0      0
   [3,]      0      1      1      0      0      1      0      0      0      0
   [4,]      1      0      0      0      1      0      0      0      1      1
   [5,]      0      0      1      0      1      1      0      0      1      0
   [6,]      0      1      0      1      0      0      0      0      0      0
   [7,]      0      1      0      0      0      0      0      1      1      0
   [8,]      0      0      0      0      0      1      0      0      1      0
   [9,]      1      0      1      0      0      0      0      0      1      0
  [10,]      0      0      0      0      0      0      1      0      0      0
        [,898] [,899] [,900] [,901] [,902] [,903] [,904] [,905] [,906] [,907]
   [1,]      0      0      1      1      1      0      0      1      0      0
   [2,]      0      0      1      0      0      0      0      0      0      0
   [3,]      0      1      0      0      0      1      0      0      0      0
   [4,]      0      0      0      0      0      0      0      0      0      0
   [5,]      0      1      0      0      0      1      0      0      0      1
   [6,]      0      0      0      1      0      0      1      0      0      1
   [7,]      1      0      0      0      0      0      1      0      1      1
   [8,]      0      0      0      1      1      0      0      0      1      0
   [9,]      0      1      1      0      0      1      1      0      0      0
  [10,]      0      1      0      0      0      0      0      0      0      0
        [,908] [,909] [,910] [,911] [,912] [,913] [,914] [,915] [,916] [,917]
   [1,]      0      0      0      1      0      0      0      0      0      0
   [2,]      0      0      0      1      1      0      0      0      0      0
   [3,]      0      0      0      0      1      0      0      0      1      0
   [4,]      0      0      0      1      0      0      0      0      0      0
   [5,]      1      0      0      0      0      0      0      0      0      0
   [6,]      1      0      1      0      0      0      0      1      0      0
   [7,]      0      0      0      0      0      0      1      0      0      0
   [8,]      1      0      0      0      0      0      0      1      0      0
   [9,]      0      0      0      1      0      0      0      0      1      0
  [10,]      0      0      0      0      0      0      1      0      0      0
        [,918] [,919] [,920] [,921] [,922] [,923] [,924] [,925] [,926] [,927]
   [1,]      1      0      0      0      0      0      1      1      0      0
   [2,]      1      1      0      0      0      1      0      0      0      0
   [3,]      0      0      0      0      0      0      0      1      0      0
   [4,]      0      0      0      0      1      0      0      0      0      0
   [5,]      1      0      0      0      0      1      1      1      1      0
   [6,]      1      1      0      0      0      0      0      0      0      1
   [7,]      0      0      0      0      1      0      0      0      0      1
   [8,]      0      0      0      1      1      0      0      0      0      1
   [9,]      0      0      0      0      0      1      0      0      1      1
  [10,]      1      1      0      0      0      0      0      0      0      0
        [,928] [,929] [,930] [,931] [,932] [,933] [,934] [,935] [,936] [,937]
   [1,]      0      1      0      0      0      0      0      0      1      1
   [2,]      1      0      1      1      0      1      1      0      0      0
   [3,]      0      0      1      0      0      0      0      1      1      0
   [4,]      0      1      1      0      0      0      0      0      0      1
   [5,]      0      0      0      0      0      0      0      1      0      0
   [6,]      0      0      0      1      0      1      0      1      0      0
   [7,]      0      0      0      0      0      1      0      1      0      0
   [8,]      1      0      0      0      1      1      0      0      1      0
   [9,]      0      0      0      1      0      0      0      1      0      1
  [10,]      1      0      0      1      0      0      0      0      0      0
        [,938] [,939] [,940] [,941] [,942] [,943] [,944] [,945] [,946] [,947]
   [1,]      0      0      0      1      0      0      0      0      0      0
   [2,]      0      0      1      0      1      0      0      0      0      0
   [3,]      0      1      0      0      1      0      0      0      0      1
   [4,]      1      0      0      0      1      1      0      1      0      0
   [5,]      1      1      1      0      0      0      0      0      0      0
   [6,]      0      0      0      0      0      0      0      0      0      0
   [7,]      1      0      0      0      1      0      0      0      0      1
   [8,]      1      0      0      0      0      0      0      1      1      0
   [9,]      0      0      1      0      0      0      0      0      0      0
  [10,]      0      0      0      0      0      1      0      0      0      0
        [,948] [,949] [,950] [,951] [,952] [,953] [,954] [,955] [,956] [,957]
   [1,]      1      0      0      0      1      0      1      0      0      0
   [2,]      1      0      1      0      0      0      0      0      1      0
   [3,]      0      0      0      0      0      1      0      0      1      0
   [4,]      0      1      0      0      0      0      0      1      0      1
   [5,]      1      0      0      1      1      0      0      0      0      0
   [6,]      0      0      0      0      0      0      0      1      1      0
   [7,]      0      0      0      0      0      1      1      0      0      1
   [8,]      0      0      1      0      0      0      0      0      0      1
   [9,]      0      0      1      0      0      1      0      0      0      1
  [10,]      0      0      0      0      1      1      0      0      1      0
        [,958] [,959] [,960] [,961] [,962] [,963] [,964] [,965] [,966] [,967]
   [1,]      0      1      0      0      0      0      0      1      0      0
   [2,]      1      0      1      1      0      0      0      1      0      1
   [3,]      0      0      1      0      0      0      0      0      0      0
   [4,]      1      1      0      0      0      1      0      0      0      0
   [5,]      0      0      0      0      1      1      1      0      1      0
   [6,]      0      0      0      0      0      1      0      1      0      1
   [7,]      0      1      1      1      0      1      0      0      0      0
   [8,]      0      0      0      0      0      0      0      0      1      0
   [9,]      0      0      0      0      0      0      0      0      0      1
  [10,]      1      0      0      0      0      0      0      1      0      0
        [,968] [,969] [,970] [,971] [,972] [,973] [,974] [,975] [,976] [,977]
   [1,]      1      0      0      0      0      0      0      0      1      1
   [2,]      1      1      0      1      0      1      0      0      1      0
   [3,]      0      1      0      0      1      1      0      0      0      0
   [4,]      0      0      0      1      0      1      0      0      0      0
   [5,]      1      0      1      0      1      0      0      0      1      0
   [6,]      0      0      0      0      0      0      0      0      0      0
   [7,]      0      1      0      1      0      1      0      0      0      0
   [8,]      1      0      0      0      0      0      0      0      0      1
   [9,]      1      0      1      0      0      0      1      1      0      0
  [10,]      1      0      1      0      0      0      0      0      0      0
        [,978] [,979] [,980] [,981] [,982] [,983] [,984] [,985] [,986] [,987]
   [1,]      0      0      0      0      0      0      1      0      0      0
   [2,]      0      0      1      1      1      1      0      0      0      1
   [3,]      0      0      1      1      1      1      1      0      0      1
   [4,]      0      0      0      0      0      0      0      0      0      0
   [5,]      0      0      0      0      1      0      0      1      0      0
   [6,]      0      0      0      1      1      0      0      0      0      0
   [7,]      1      1      0      1      0      0      0      1      0      1
   [8,]      0      0      0      1      0      0      0      1      0      0
   [9,]      0      0      0      1      0      0      1      0      0      0
  [10,]      0      0      0      0      0      0      0      0      0      0
        [,988] [,989] [,990] [,991] [,992] [,993] [,994] [,995] [,996] [,997]
   [1,]      0      0      1      0      1      0      1      0      0      0
   [2,]      0      1      1      1      0      0      0      0      0      1
   [3,]      0      0      0      0      0      0      0      0      0      0
   [4,]      1      0      0      0      0      0      1      1      0      0
   [5,]      0      0      0      0      0      1      0      0      0      0
   [6,]      1      0      0      0      0      0      1      0      0      1
   [7,]      1      0      1      0      1      0      1      1      1      0
   [8,]      0      0      0      0      1      0      0      0      0      0
   [9,]      0      0      0      1      1      0      0      0      0      0
  [10,]      1      1      0      0      0      0      0      0      1      0
        [,998] [,999] [,1000] [,1001] [,1002] [,1003] [,1004] [,1005] [,1006]
   [1,]      0      1       0       1       1       0       1       0       0
   [2,]      0      0       0       0       0       0       0       1       0
   [3,]      1      0       0       0       1       0       0       0       0
   [4,]      1      0       0       1       0       1       1       1       0
   [5,]      0      0       0       0       0       0       0       0       0
   [6,]      1      0       1       0       1       0       0       0       1
   [7,]      0      0       0       0       0       0       0       0       0
   [8,]      0      1       0       1       1       0       0       1       0
   [9,]      0      0       1       0       0       0       0       0       0
  [10,]      0      0       0       0       1       0       1       0       0
        [,1007] [,1008] [,1009] [,1010] [,1011] [,1012] [,1013] [,1014] [,1015]
   [1,]       0       0       0       1       1       0       1       1       0
   [2,]       0       0       0       1       0       1       1       0       0
   [3,]       1       0       0       0       1       0       0       1       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       1       0       1       1       0       0       0       1
   [6,]       1       0       0       1       0       0       1       0       0
   [7,]       0       0       0       0       0       1       0       0       1
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       1       0       0       0       0       1       1
  [10,]       0       0       0       0       1       0       0       0       0
        [,1016] [,1017] [,1018] [,1019] [,1020] [,1021] [,1022] [,1023] [,1024]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       1       0       0       1       0       0       0       1
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       0       0       0       0       1       1       1
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       1       1       0       0       0       0       0       0       0
   [8,]       0       0       1       0       0       0       1       0       0
   [9,]       1       1       0       0       0       0       0       0       0
  [10,]       0       0       0       0       1       1       1       0       1
        [,1025] [,1026] [,1027] [,1028] [,1029] [,1030] [,1031] [,1032] [,1033]
   [1,]       0       1       0       0       0       0       0       0       1
   [2,]       1       0       0       1       1       0       0       1       0
   [3,]       0       1       0       1       0       0       0       0       0
   [4,]       0       0       1       0       0       0       1       1       0
   [5,]       0       1       1       0       0       0       0       1       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       1       1       0       0       0       0       0
   [9,]       1       0       0       0       0       0       0       0       1
  [10,]       1       1       1       1       1       0       0       0       0
        [,1034] [,1035] [,1036] [,1037] [,1038] [,1039] [,1040] [,1041] [,1042]
   [1,]       0       0       0       1       0       1       0       0       1
   [2,]       1       0       1       0       0       0       0       1       1
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       0       1       0       0       0       1       0       1       1
   [5,]       0       0       1       0       0       1       0       0       1
   [6,]       0       0       0       0       0       0       0       1       1
   [7,]       0       1       0       1       0       0       0       0       0
   [8,]       0       0       1       0       0       0       0       1       0
   [9,]       0       0       1       0       0       0       0       1       0
  [10,]       1       1       0       1       1       0       0       0       1
        [,1043] [,1044] [,1045] [,1046] [,1047] [,1048] [,1049] [,1050] [,1051]
   [1,]       0       1       0       0       0       1       0       0       0
   [2,]       0       1       0       0       0       1       0       1       1
   [3,]       0       1       0       0       0       0       1       1       0
   [4,]       0       0       0       0       1       1       0       1       1
   [5,]       0       0       0       0       0       0       0       1       1
   [6,]       0       1       0       0       0       0       1       0       0
   [7,]       1       0       1       0       1       0       1       0       0
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       0       1       0       0       0       0       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,1052] [,1053] [,1054] [,1055] [,1056] [,1057] [,1058] [,1059] [,1060]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       0       1       0       0       0       0       1
   [3,]       1       1       0       0       0       1       0       0       0
   [4,]       0       1       0       0       1       1       0       0       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       0       0       0       1       0       0       1       0
   [7,]       1       0       0       1       0       0       0       0       0
   [8,]       0       1       0       0       1       0       0       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       1       1       1       1       1       1       1       0
        [,1061] [,1062] [,1063] [,1064] [,1065] [,1066] [,1067] [,1068] [,1069]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       1       0       0       0       0       0       0       1       0
   [3,]       0       1       0       1       0       1       1       0       1
   [4,]       0       1       0       0       0       1       1       0       0
   [5,]       0       0       1       1       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       0       0       0       1       1       0       0       0       0
   [8,]       1       0       0       0       1       0       0       0       0
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,1070] [,1071] [,1072] [,1073] [,1074] [,1075] [,1076] [,1077] [,1078]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       1       0       1       0       0       0       0       1
   [5,]       1       1       0       1       0       1       0       0       1
   [6,]       0       1       1       0       0       0       0       0       1
   [7,]       0       1       0       0       0       1       0       1       0
   [8,]       0       0       0       1       0       0       0       1       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       1       0       0       0       1       0       0
        [,1079] [,1080] [,1081] [,1082] [,1083] [,1084] [,1085] [,1086] [,1087]
   [1,]       1       0       1       1       1       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       0       0       1       1       0       0
   [4,]       0       1       0       0       1       0       1       0       0
   [5,]       0       0       0       1       1       0       0       1       1
   [6,]       0       0       0       1       0       0       0       1       0
   [7,]       0       0       0       0       0       0       1       1       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,1088] [,1089] [,1090] [,1091] [,1092] [,1093] [,1094] [,1095] [,1096]
   [1,]       0       0       1       0       0       1       1       0       0
   [2,]       0       1       1       0       0       0       1       0       0
   [3,]       0       0       0       1       0       1       0       0       0
   [4,]       1       0       0       0       0       0       0       0       1
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       0       0       1       0       1       0       1       0
   [8,]       1       0       0       0       0       1       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       1       1       1       0       0
        [,1097] [,1098] [,1099] [,1100] [,1101] [,1102] [,1103] [,1104] [,1105]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       1       0       1       0       0       0       0       0       0
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       0       0       0       1       1       1       0       1       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       1       1       0       0       0       1       1       0
   [7,]       0       0       1       0       0       0       1       0       0
   [8,]       0       0       0       0       0       0       0       1       1
   [9,]       0       1       0       0       0       0       1       0       0
  [10,]       1       0       1       0       0       0       1       0       0
        [,1106] [,1107] [,1108] [,1109] [,1110] [,1111] [,1112] [,1113] [,1114]
   [1,]       1       0       0       0       0       0       0       0       1
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       0       0       1       1       0       0       1       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       1       0       0       0       1       0       0       1       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       1       0       0       0       0       0       0       1
        [,1115] [,1116] [,1117] [,1118] [,1119] [,1120] [,1121] [,1122] [,1123]
   [1,]       0       0       1       0       0       1       0       1       1
   [2,]       0       1       1       0       0       0       1       0       1
   [3,]       1       0       1       1       0       0       1       1       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       1       0       1       1       0       1       1       0
   [6,]       0       1       0       0       1       0       0       0       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       0       1       1       1       1       0       0       0
   [9,]       1       0       0       1       0       0       0       1       0
  [10,]       0       0       0       0       1       0       1       0       1
        [,1124] [,1125] [,1126] [,1127] [,1128] [,1129] [,1130] [,1131] [,1132]
   [1,]       0       0       0       0       1       0       0       0       1
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       1       0       0       0       1       0       0       0       0
   [4,]       0       0       1       0       0       1       1       0       1
   [5,]       1       1       1       1       1       0       1       0       0
   [6,]       0       0       0       1       1       0       1       0       0
   [7,]       0       1       0       0       1       0       0       0       1
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       0       1       0       0       0       1       0       0
  [10,]       0       0       1       1       1       1       0       1       1
        [,1133] [,1134] [,1135] [,1136] [,1137] [,1138] [,1139] [,1140] [,1141]
   [1,]       1       0       1       0       0       0       0       0       0
   [2,]       0       1       0       0       1       0       0       1       1
   [3,]       1       0       0       1       0       0       0       0       1
   [4,]       0       0       0       0       1       1       0       0       1
   [5,]       0       0       1       0       0       0       1       0       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       0       1       0       1       1       1       0       0
   [8,]       1       1       1       0       1       0       0       0       1
   [9,]       1       0       0       1       0       0       1       1       0
  [10,]       0       1       0       0       1       0       0       0       1
        [,1142] [,1143] [,1144] [,1145] [,1146] [,1147] [,1148] [,1149] [,1150]
   [1,]       0       1       0       1       0       0       0       1       0
   [2,]       0       0       0       1       1       1       0       0       1
   [3,]       0       0       1       0       1       0       0       0       0
   [4,]       1       1       0       0       0       0       0       1       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       1       0       1       1       0       0       0       0       0
   [8,]       1       1       0       0       0       0       0       0       1
   [9,]       0       0       0       1       1       0       0       0       0
  [10,]       0       0       0       0       1       0       0       1       0
        [,1151] [,1152] [,1153] [,1154] [,1155] [,1156] [,1157] [,1158] [,1159]
   [1,]       1       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       1
   [4,]       1       0       0       0       0       0       0       1       1
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       1       1       0       1       1
   [7,]       0       0       0       0       1       0       1       0       1
   [8,]       0       0       1       0       0       0       0       1       0
   [9,]       1       1       0       0       0       0       1       0       0
  [10,]       1       0       0       0       0       0       1       1       1
        [,1160] [,1161] [,1162] [,1163] [,1164] [,1165] [,1166] [,1167] [,1168]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       1       0       1
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       1       0       0       0       0       1       0       0       0
   [5,]       0       1       1       1       0       0       1       0       0
   [6,]       0       0       0       1       0       1       0       1       1
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       1       0       0       0       0       1       1       0       0
   [9,]       0       1       0       1       0       0       1       1       0
  [10,]       0       0       0       0       0       1       0       0       1
        [,1169] [,1170] [,1171] [,1172] [,1173] [,1174] [,1175] [,1176] [,1177]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       1       0       0       0       0       1
   [5,]       0       1       0       0       1       0       1       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       1       0       0       0       0       0
   [8,]       0       1       0       1       0       0       1       0       0
   [9,]       0       1       0       0       0       0       1       0       0
  [10,]       0       0       0       0       0       1       0       1       0
        [,1178] [,1179] [,1180] [,1181] [,1182] [,1183] [,1184] [,1185] [,1186]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       1       1       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       0       1       0       0       1       0       0       1
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       0       0       1       1       0       0       1       0       0
   [9,]       0       1       0       0       0       1       0       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,1187] [,1188] [,1189] [,1190] [,1191] [,1192] [,1193] [,1194] [,1195]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       1       1       1       0       0       1       1       0
   [3,]       1       1       0       0       0       0       0       1       1
   [4,]       0       1       0       0       0       1       1       0       0
   [5,]       0       1       0       0       0       0       0       0       1
   [6,]       0       0       1       0       0       1       0       0       1
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       1       1       0       0       0       0       1       0
  [10,]       0       0       0       1       1       1       1       0       0
        [,1196] [,1197] [,1198] [,1199] [,1200] [,1201] [,1202] [,1203] [,1204]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       0       0       1       1       0       0       1       0
   [3,]       0       1       1       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       1       0       1       0       1       0       0       1
   [7,]       1       0       1       1       1       0       0       1       1
   [8,]       0       1       0       0       0       0       0       1       0
   [9,]       0       1       0       0       0       0       0       0       1
  [10,]       1       1       0       1       0       0       1       0       0
        [,1205] [,1206] [,1207] [,1208] [,1209] [,1210] [,1211] [,1212] [,1213]
   [1,]       0       1       1       1       1       0       1       0       0
   [2,]       0       1       0       1       0       1       0       0       1
   [3,]       0       0       0       1       1       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       1       1       0       0       0       0
   [6,]       1       0       0       0       0       0       1       0       1
   [7,]       0       0       1       1       1       1       1       0       1
   [8,]       0       0       0       1       0       0       0       0       1
   [9,]       0       1       0       1       0       0       0       0       1
  [10,]       0       1       0       0       1       1       0       0       0
        [,1214] [,1215] [,1216] [,1217] [,1218] [,1219] [,1220] [,1221] [,1222]
   [1,]       1       0       0       0       0       0       1       1       0
   [2,]       0       0       0       0       0       0       1       1       0
   [3,]       0       1       0       1       0       1       1       1       1
   [4,]       0       0       0       0       0       1       0       1       1
   [5,]       0       0       0       1       0       0       1       0       0
   [6,]       0       1       0       1       0       1       0       0       1
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       1       0       0       0       0       0       0       1       0
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       1       1       1       1       0       0       0       0       0
        [,1223] [,1224] [,1225] [,1226] [,1227] [,1228] [,1229] [,1230] [,1231]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       0       1       0       1       1       1       1       0
   [3,]       0       1       0       0       1       0       0       1       0
   [4,]       0       0       0       1       0       0       0       0       1
   [5,]       0       0       0       0       1       0       1       0       0
   [6,]       0       1       0       0       0       0       1       1       0
   [7,]       1       0       1       0       0       0       0       0       0
   [8,]       0       0       0       1       0       0       1       1       0
   [9,]       1       0       0       1       0       0       0       0       0
  [10,]       0       0       0       1       0       0       0       1       0
        [,1232] [,1233] [,1234] [,1235] [,1236] [,1237] [,1238] [,1239] [,1240]
   [1,]       0       0       0       0       1       0       1       0       1
   [2,]       0       1       0       1       0       0       0       0       0
   [3,]       1       1       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       1       1
   [5,]       0       0       0       0       1       0       1       0       0
   [6,]       1       0       0       0       0       0       1       1       0
   [7,]       1       0       0       0       0       1       1       1       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       1       0       0       0       0       0       0       1
  [10,]       0       0       0       0       1       1       0       0       0
        [,1241] [,1242] [,1243] [,1244] [,1245] [,1246] [,1247] [,1248] [,1249]
   [1,]       0       0       0       1       0       1       1       1       1
   [2,]       0       1       0       0       0       0       1       0       1
   [3,]       1       0       1       0       0       0       0       1       0
   [4,]       0       0       0       0       1       1       1       1       0
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       0       0       1       0       0       0       0       1       0
   [8,]       1       0       0       0       1       1       1       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,1250] [,1251] [,1252] [,1253] [,1254] [,1255] [,1256] [,1257] [,1258]
   [1,]       0       0       1       0       0       0       1       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       1       1       1       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       1       1       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       1       0       0       1       0       0       0
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       1       0       0       1       0       1       1       1
        [,1259] [,1260] [,1261] [,1262] [,1263] [,1264] [,1265] [,1266] [,1267]
   [1,]       0       0       0       1       0       1       0       0       0
   [2,]       1       0       0       1       1       0       0       0       0
   [3,]       0       0       1       0       1       0       0       0       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       0       1       1       1       0       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       1       1       1       1       1       0       0       1       1
   [8,]       0       1       0       0       0       0       0       1       1
   [9,]       0       0       1       0       1       0       0       0       0
  [10,]       0       0       0       0       0       1       0       1       0
        [,1268] [,1269] [,1270] [,1271] [,1272] [,1273] [,1274] [,1275] [,1276]
   [1,]       1       0       0       1       0       0       1       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       1       0       0       0       0       1       0       1
   [4,]       0       0       0       0       1       0       1       1       0
   [5,]       0       0       0       1       0       0       0       0       1
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       1       0       0       1       1       1
   [8,]       0       1       0       0       1       0       1       0       1
   [9,]       0       0       0       1       1       1       0       0       0
  [10,]       1       1       1       0       0       1       1       1       1
        [,1277] [,1278] [,1279] [,1280] [,1281] [,1282] [,1283] [,1284] [,1285]
   [1,]       0       0       1       0       0       0       1       0       1
   [2,]       0       0       1       1       0       1       0       0       1
   [3,]       0       0       0       1       1       0       1       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       1       1       0       0       0       0       1
   [6,]       0       0       1       0       1       0       0       0       0
   [7,]       0       1       1       0       0       0       0       0       1
   [8,]       0       0       1       0       0       0       0       1       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       1       1       0
        [,1286] [,1287] [,1288] [,1289] [,1290] [,1291] [,1292] [,1293] [,1294]
   [1,]       0       1       1       0       1       0       0       1       0
   [2,]       1       0       0       0       0       0       0       0       1
   [3,]       0       0       1       0       0       0       1       0       1
   [4,]       0       1       0       0       1       1       1       0       1
   [5,]       1       1       1       0       1       0       0       1       0
   [6,]       0       1       1       0       0       1       0       0       0
   [7,]       0       0       1       0       0       0       1       1       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       1       0       1       1       1       0       0
  [10,]       1       0       1       0       0       1       0       0       0
        [,1295] [,1296] [,1297] [,1298] [,1299] [,1300] [,1301] [,1302] [,1303]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       1       1       1       1       0       0       0
   [3,]       1       0       0       0       1       0       0       1       1
   [4,]       1       0       0       1       0       0       1       1       0
   [5,]       0       0       0       1       0       0       0       0       1
   [6,]       0       0       1       1       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       0       1       0       0       0       0       1
   [9,]       0       1       0       0       0       0       1       1       1
  [10,]       0       0       1       0       1       0       1       0       0
        [,1304] [,1305] [,1306] [,1307] [,1308] [,1309] [,1310] [,1311] [,1312]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       1       0       0       0       1       1       0       0
   [3,]       1       0       0       0       0       1       1       1       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       0       0       0       1       0       1       1
   [6,]       0       0       0       1       1       0       0       0       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       1       0       1
   [9,]       0       1       0       1       0       0       0       1       1
  [10,]       0       0       0       1       0       1       0       0       0
        [,1313] [,1314] [,1315] [,1316] [,1317] [,1318] [,1319] [,1320] [,1321]
   [1,]       0       0       1       1       0       0       0       0       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       1       1       0       1       0       0       0       1       0
   [4,]       0       1       0       0       1       0       0       0       0
   [5,]       1       0       0       1       0       0       0       0       0
   [6,]       1       0       0       0       1       0       0       1       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       0       0       1       0       0       0       1       1
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       1       1       1       0       0       0       1
        [,1322] [,1323] [,1324] [,1325] [,1326] [,1327] [,1328] [,1329] [,1330]
   [1,]       1       0       0       0       0       0       0       0       1
   [2,]       1       0       0       0       1       1       0       0       0
   [3,]       1       0       0       1       0       1       0       0       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       1       0       0       0       0       0       0       1
   [6,]       0       0       0       1       1       0       0       0       1
   [7,]       0       0       1       0       1       0       0       0       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       1       0       0       1       0       0       0
        [,1331] [,1332] [,1333] [,1334] [,1335] [,1336] [,1337] [,1338] [,1339]
   [1,]       0       0       0       1       0       0       1       0       1
   [2,]       0       0       0       0       0       1       1       0       0
   [3,]       0       0       1       0       0       1       0       0       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       1       0       1       0       1       0       0       1       0
   [6,]       0       0       0       0       0       1       1       0       0
   [7,]       1       0       0       1       0       0       1       0       1
   [8,]       0       1       0       0       0       0       0       1       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,1340] [,1341] [,1342] [,1343] [,1344] [,1345] [,1346] [,1347] [,1348]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       1       1       0       1       1       1       1       1       0
   [4,]       0       0       0       1       1       0       0       0       0
   [5,]       0       0       0       0       0       0       1       1       0
   [6,]       0       0       0       1       0       1       0       0       0
   [7,]       1       0       0       1       0       0       1       1       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       1       0       0       0       1       1       1       0
  [10,]       0       1       0       0       0       0       0       1       1
        [,1349] [,1350] [,1351] [,1352] [,1353] [,1354] [,1355] [,1356] [,1357]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       1       0       0       1       0       0       0       0       1
   [5,]       1       1       0       0       0       0       1       1       0
   [6,]       1       0       1       0       0       1       0       1       1
   [7,]       0       0       1       1       0       0       0       0       0
   [8,]       0       0       0       0       0       0       1       0       1
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       0       0       1       1       0       1       0       0
        [,1358] [,1359] [,1360] [,1361] [,1362] [,1363] [,1364] [,1365] [,1366]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       1       0       0       0       0       0       0       1       1
   [3,]       0       1       0       1       0       0       0       1       1
   [4,]       0       1       0       1       1       0       0       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       1       0       1       0       1       0       0       1
   [8,]       1       0       0       0       1       0       0       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       0       1       0       0       1       0       0
        [,1367] [,1368] [,1369] [,1370] [,1371] [,1372] [,1373] [,1374] [,1375]
   [1,]       1       0       1       0       0       0       0       0       0
   [2,]       1       0       1       0       0       0       0       0       1
   [3,]       1       0       1       0       1       0       0       1       0
   [4,]       0       1       0       0       0       0       1       0       0
   [5,]       0       0       0       0       1       0       0       0       1
   [6,]       0       0       0       1       0       1       1       1       0
   [7,]       1       1       0       1       0       1       0       0       0
   [8,]       0       0       1       0       0       1       0       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       1       0       0       0       0       1       0       1       0
        [,1376] [,1377] [,1378] [,1379] [,1380] [,1381] [,1382] [,1383] [,1384]
   [1,]       0       0       1       0       0       0       0       1       0
   [2,]       1       0       1       0       0       0       0       0       0
   [3,]       0       1       1       0       0       0       0       0       0
   [4,]       0       0       0       1       0       0       0       0       1
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       0       0       0       0       0       1       0       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       0       1       1       0       1       1       0       0
   [9,]       0       0       1       0       0       0       0       0       1
  [10,]       0       0       0       0       1       0       1       0       0
        [,1385] [,1386] [,1387] [,1388] [,1389] [,1390] [,1391] [,1392] [,1393]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       1       0       0       0       0       1       1       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       1       1       0       0       0       0       0       0       0
   [5,]       1       0       1       0       0       0       0       1       0
   [6,]       0       1       0       0       0       0       0       1       0
   [7,]       1       1       1       0       0       0       1       1       0
   [8,]       0       1       1       0       0       0       0       0       0
   [9,]       0       0       0       1       0       0       1       0       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,1394] [,1395] [,1396] [,1397] [,1398] [,1399] [,1400] [,1401] [,1402]
   [1,]       0       0       1       0       0       1       0       1       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       1       0       0       0       0       0       1       0       0
   [4,]       1       0       0       0       0       0       1       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       1       0       0       0       0       1       0       1       0
   [7,]       1       1       0       0       0       0       1       0       0
   [8,]       0       1       0       0       1       1       0       0       0
   [9,]       1       0       0       0       0       0       1       1       0
  [10,]       1       0       0       1       1       0       1       1       0
        [,1403] [,1404] [,1405] [,1406] [,1407] [,1408] [,1409] [,1410] [,1411]
   [1,]       0       1       1       0       1       1       1       0       0
   [2,]       0       1       0       0       0       1       0       0       0
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       1       0       0       0       0       0       0       0       1
   [6,]       0       0       1       1       0       1       1       0       0
   [7,]       1       0       0       0       0       1       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       0       0       0       1       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,1412] [,1413] [,1414] [,1415] [,1416] [,1417] [,1418] [,1419] [,1420]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       1       0       1       0       0       0       0       0
   [3,]       0       0       1       0       0       1       0       0       0
   [4,]       0       0       1       0       0       1       0       0       0
   [5,]       0       0       0       1       1       0       0       0       1
   [6,]       0       0       1       0       0       1       0       0       0
   [7,]       1       0       0       1       0       1       0       0       0
   [8,]       0       0       0       0       0       0       0       1       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       1       1       0       1       0       0       1       1
        [,1421] [,1422] [,1423] [,1424] [,1425] [,1426] [,1427] [,1428] [,1429]
   [1,]       1       1       1       0       1       0       1       0       0
   [2,]       1       0       1       0       0       0       1       0       0
   [3,]       0       0       0       1       0       1       0       0       0
   [4,]       1       0       0       0       0       0       0       0       1
   [5,]       0       0       1       0       0       1       0       1       1
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       1       1       0       0       1       0       0       0       1
   [9,]       0       0       0       0       0       0       0       1       1
  [10,]       0       0       0       0       0       0       1       0       0
        [,1430] [,1431] [,1432] [,1433] [,1434] [,1435] [,1436] [,1437] [,1438]
   [1,]       0       0       0       1       0       1       0       0       0
   [2,]       0       0       1       0       0       1       1       0       0
   [3,]       0       0       1       0       1       0       1       0       1
   [4,]       1       0       0       0       1       0       0       0       1
   [5,]       0       1       0       1       0       0       1       1       0
   [6,]       0       0       0       1       0       0       0       1       1
   [7,]       0       1       0       1       1       1       0       0       0
   [8,]       0       0       0       1       1       0       0       0       0
   [9,]       0       1       0       1       0       1       0       0       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,1439] [,1440] [,1441] [,1442] [,1443] [,1444] [,1445] [,1446] [,1447]
   [1,]       1       0       0       0       0       1       0       0       1
   [2,]       0       0       0       0       1       0       1       0       0
   [3,]       0       0       1       1       1       1       0       1       0
   [4,]       1       0       0       1       0       1       0       0       0
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       0       0       0       1       0       0       0       1       1
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       0       0       1       0       1       0       0       0       0
   [9,]       0       1       0       1       1       0       0       0       1
  [10,]       0       1       0       1       1       0       0       0       0
        [,1448] [,1449] [,1450] [,1451] [,1452] [,1453] [,1454] [,1455] [,1456]
   [1,]       0       0       1       0       1       1       1       0       0
   [2,]       0       0       1       0       0       1       1       0       0
   [3,]       0       1       0       0       0       1       0       0       0
   [4,]       1       1       1       1       0       1       0       1       1
   [5,]       0       1       0       0       0       1       0       0       0
   [6,]       1       0       0       0       0       0       0       0       1
   [7,]       1       1       0       1       1       0       1       0       0
   [8,]       0       0       0       0       0       1       0       1       0
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       1       0       0       0       0       0       0       1       1
        [,1457] [,1458] [,1459] [,1460] [,1461] [,1462] [,1463] [,1464] [,1465]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       1       0       0       0       1       1       0       0
   [3,]       0       0       1       0       1       1       0       0       0
   [4,]       0       1       1       0       0       1       0       0       0
   [5,]       0       0       1       1       0       0       1       0       0
   [6,]       0       1       0       0       0       0       1       0       0
   [7,]       1       0       1       0       1       0       1       1       0
   [8,]       0       1       0       0       1       0       0       1       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       1       0       0       1       0       1       0       0
        [,1466] [,1467] [,1468] [,1469] [,1470] [,1471] [,1472] [,1473] [,1474]
   [1,]       1       0       0       0       1       0       0       0       1
   [2,]       1       1       1       1       1       1       1       1       1
   [3,]       0       0       0       1       1       0       0       1       0
   [4,]       0       1       0       1       0       0       0       1       0
   [5,]       0       1       0       0       0       1       1       0       1
   [6,]       0       1       0       0       1       0       1       0       0
   [7,]       0       1       0       0       0       0       1       1       1
   [8,]       0       0       1       1       0       1       0       0       0
   [9,]       0       0       0       0       0       1       0       0       1
  [10,]       0       0       0       0       0       1       0       0       1
        [,1475] [,1476] [,1477] [,1478] [,1479] [,1480] [,1481] [,1482] [,1483]
   [1,]       0       1       1       1       0       0       0       0       0
   [2,]       0       0       0       1       1       0       0       1       0
   [3,]       0       0       0       1       1       1       1       0       0
   [4,]       0       0       1       0       0       0       0       1       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       1       0       0       1       0       1       0       1       0
   [7,]       0       0       1       0       0       0       0       0       1
   [8,]       1       0       0       1       0       1       0       0       0
   [9,]       0       1       0       1       1       0       1       0       0
  [10,]       1       1       0       1       0       0       0       0       0
        [,1484] [,1485] [,1486] [,1487] [,1488] [,1489] [,1490] [,1491] [,1492]
   [1,]       0       1       0       1       0       1       0       0       0
   [2,]       0       0       0       0       1       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       0       0       0       1       0       0       1       1
   [5,]       0       0       1       1       1       0       0       0       1
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       0       1       0       1       0       0       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       1       1       0       0       0       1       0       1
  [10,]       1       0       0       0       1       0       0       1       0
        [,1493] [,1494] [,1495] [,1496] [,1497] [,1498] [,1499] [,1500] [,1501]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       0       0       1       0       0       1       0       0
   [3,]       0       0       1       0       0       0       0       1       0
   [4,]       0       0       0       1       0       0       1       1       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       0       0       1       1       1       0       0       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       1       0       0       1       0       1       0       0
   [9,]       0       0       0       0       1       0       0       1       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,1502] [,1503] [,1504] [,1505] [,1506] [,1507] [,1508] [,1509] [,1510]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       1       0       0       0       1       0       1       0
   [3,]       1       1       0       1       1       0       1       0       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       0       1       1       1       0       1
   [6,]       1       0       1       1       1       1       1       0       0
   [7,]       0       0       0       1       0       0       0       1       0
   [8,]       0       0       0       0       1       0       1       0       0
   [9,]       1       0       0       0       0       0       0       0       1
  [10,]       0       0       0       1       0       0       0       0       0
        [,1511] [,1512] [,1513] [,1514] [,1515] [,1516] [,1517] [,1518] [,1519]
   [1,]       0       0       0       0       1       0       1       0       0
   [2,]       1       1       0       0       1       0       0       0       0
   [3,]       1       1       1       0       0       0       0       1       0
   [4,]       0       0       1       0       0       1       1       1       1
   [5,]       0       1       1       1       0       1       0       1       0
   [6,]       1       1       0       0       1       0       1       0       0
   [7,]       0       1       0       0       0       0       0       1       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       1       1       0       1       0       0       0       0       0
  [10,]       0       1       0       0       1       1       0       0       0
        [,1520] [,1521] [,1522] [,1523] [,1524] [,1525] [,1526] [,1527] [,1528]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       1       0       0       1       0       0       1       0       0
   [3,]       0       0       0       0       1       1       0       1       0
   [4,]       1       0       0       0       0       0       0       1       0
   [5,]       1       1       0       1       0       1       0       0       0
   [6,]       0       0       1       0       0       1       0       1       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       1
        [,1529] [,1530] [,1531] [,1532] [,1533] [,1534] [,1535] [,1536] [,1537]
   [1,]       0       0       0       0       0       0       1       1       0
   [2,]       0       0       0       1       0       0       1       0       1
   [3,]       1       0       0       0       0       1       0       0       1
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       0       0       0       0       1       0       1       0       0
   [6,]       1       0       0       1       1       0       0       0       1
   [7,]       1       0       1       0       1       0       0       1       0
   [8,]       1       0       0       0       0       0       1       0       0
   [9,]       1       0       0       0       0       0       0       0       1
  [10,]       0       1       0       0       0       1       0       0       0
        [,1538] [,1539] [,1540] [,1541] [,1542] [,1543] [,1544] [,1545] [,1546]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       1       0       0       1
   [3,]       0       1       0       0       0       0       0       1       0
   [4,]       0       0       0       0       1       0       0       1       0
   [5,]       1       0       0       0       1       1       0       1       1
   [6,]       1       0       0       0       0       0       0       1       1
   [7,]       1       0       0       0       0       0       1       1       0
   [8,]       0       0       0       0       1       1       0       1       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       0       0       0       1       0       1       1       0
        [,1547] [,1548] [,1549] [,1550] [,1551] [,1552] [,1553] [,1554] [,1555]
   [1,]       0       0       0       0       0       1       1       0       0
   [2,]       1       0       0       0       0       0       0       0       1
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       0       0       0       0       1       1       0       0       1
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       0       1       0       0       0       0       1       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,1556] [,1557] [,1558] [,1559] [,1560] [,1561] [,1562] [,1563] [,1564]
   [1,]       0       0       0       1       1       0       0       0       0
   [2,]       0       1       1       0       1       0       0       1       0
   [3,]       1       0       1       0       1       1       0       0       1
   [4,]       0       0       0       0       0       1       1       0       0
   [5,]       0       0       1       0       0       0       1       0       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       1       0       1       0       0       1       0       0
   [8,]       0       1       1       0       0       1       0       0       0
   [9,]       0       0       1       1       1       1       0       1       1
  [10,]       0       0       0       0       0       1       0       0       0
        [,1565] [,1566] [,1567] [,1568] [,1569] [,1570] [,1571] [,1572] [,1573]
   [1,]       0       1       0       0       0       1       0       1       1
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       1       0       1       0       1       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       0       1       1       1       0
  [10,]       1       0       0       0       0       1       1       0       0
        [,1574] [,1575] [,1576] [,1577] [,1578] [,1579] [,1580] [,1581] [,1582]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       1       0       0       0       1       0       1       0
   [3,]       0       0       1       0       0       1       1       0       0
   [4,]       0       0       0       0       0       1       1       0       0
   [5,]       1       0       1       0       0       0       1       0       0
   [6,]       1       0       0       0       1       0       0       0       0
   [7,]       0       1       1       1       0       0       0       1       0
   [8,]       1       0       0       1       1       0       1       0       1
   [9,]       0       1       0       0       0       1       0       0       0
  [10,]       1       0       0       0       0       0       0       0       0
        [,1583] [,1584] [,1585] [,1586] [,1587] [,1588] [,1589] [,1590] [,1591]
   [1,]       0       1       0       0       0       0       0       1       0
   [2,]       1       0       0       0       0       0       1       0       0
   [3,]       0       1       0       0       0       0       0       1       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       1       0       0       1       1       0       0       1
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       1       1       1       1       0       0       0       0       0
   [8,]       1       0       0       0       0       0       1       1       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,1592] [,1593] [,1594] [,1595] [,1596] [,1597] [,1598] [,1599] [,1600]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       0       0       1       1       0       0       0       0       0
   [5,]       0       1       1       1       0       0       0       0       1
   [6,]       1       1       1       1       1       0       0       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       0       0       0       1       1       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,1601] [,1602] [,1603] [,1604] [,1605] [,1606] [,1607] [,1608] [,1609]
   [1,]       1       1       1       1       0       1       0       0       0
   [2,]       0       0       0       0       0       0       1       1       1
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       1       0       0       1       0       0       0       1       0
   [5,]       0       1       1       0       0       0       0       1       1
   [6,]       0       0       0       1       0       1       0       0       0
   [7,]       1       1       1       0       0       0       1       0       0
   [8,]       1       1       0       1       0       0       1       0       0
   [9,]       1       0       0       0       0       0       1       0       0
  [10,]       0       0       1       0       0       0       1       0       1
        [,1610] [,1611] [,1612] [,1613] [,1614] [,1615] [,1616] [,1617] [,1618]
   [1,]       0       0       0       0       0       0       1       1       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       1       1       0       0       0       1       1
   [4,]       0       0       1       1       1       0       0       0       0
   [5,]       0       0       1       0       0       0       0       0       1
   [6,]       0       0       0       1       1       0       0       0       1
   [7,]       0       0       0       0       1       0       1       0       1
   [8,]       1       0       0       0       1       0       1       0       1
   [9,]       0       0       0       0       0       1       1       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,1619] [,1620] [,1621] [,1622] [,1623] [,1624] [,1625] [,1626] [,1627]
   [1,]       0       0       0       1       0       0       0       1       0
   [2,]       1       1       0       1       0       1       0       0       1
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       1       0       1       0       1       0       0       0       0
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       0       0       1       0       0       0       0       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       0       1       0       0       1
  [10,]       0       0       0       0       0       0       1       1       0
        [,1628] [,1629] [,1630] [,1631] [,1632] [,1633] [,1634] [,1635] [,1636]
   [1,]       1       1       0       0       0       0       0       0       0
   [2,]       1       1       0       0       0       0       0       0       0
   [3,]       0       0       0       0       1       0       1       1       0
   [4,]       1       0       1       0       0       0       0       0       0
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       1       0       1       1       0       0       0       0
   [8,]       0       0       0       0       0       1       0       1       0
   [9,]       0       1       0       0       1       0       1       1       0
  [10,]       0       0       0       1       1       0       0       0       0
        [,1637] [,1638] [,1639] [,1640] [,1641] [,1642] [,1643] [,1644] [,1645]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       1       0       0       1       0       0       0       0       1
   [4,]       1       0       0       0       0       0       1       1       0
   [5,]       0       0       1       0       0       1       1       0       0
   [6,]       0       1       0       1       0       0       0       1       1
   [7,]       0       0       0       0       1       1       1       0       0
   [8,]       0       1       0       1       0       0       0       1       1
   [9,]       0       0       1       0       0       0       1       1       0
  [10,]       0       0       0       0       1       1       0       0       1
        [,1646] [,1647] [,1648] [,1649] [,1650] [,1651] [,1652] [,1653] [,1654]
   [1,]       0       0       1       0       0       1       0       0       1
   [2,]       0       0       1       1       0       0       0       0       0
   [3,]       0       0       0       1       1       0       0       0       1
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       1       0       0       0       1       0       0
   [9,]       0       0       0       1       0       0       0       0       1
  [10,]       0       0       0       0       0       1       0       1       0
        [,1655] [,1656] [,1657] [,1658] [,1659] [,1660] [,1661] [,1662] [,1663]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       1       0       1       0       0       0       0       0       0
   [4,]       1       0       1       0       0       0       0       1       1
   [5,]       1       1       0       0       0       0       0       0       1
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       1       0       1       0       0       0       0       1
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       0       0       1       1       1       0       0       1
        [,1664] [,1665] [,1666] [,1667] [,1668] [,1669] [,1670] [,1671] [,1672]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       1       1       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       1       0       0       1       0       0       0       1
   [5,]       0       0       0       0       0       0       0       1       1
   [6,]       0       1       0       0       0       1       0       0       1
   [7,]       0       0       1       0       1       0       0       0       0
   [8,]       1       1       0       0       0       0       0       0       0
   [9,]       0       1       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,1673] [,1674] [,1675] [,1676] [,1677] [,1678] [,1679] [,1680] [,1681]
   [1,]       0       0       0       1       1       1       0       0       1
   [2,]       0       0       0       0       1       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       1       0       1       0       0       0       0
   [5,]       0       0       1       0       0       0       0       1       0
   [6,]       0       0       1       1       0       1       0       0       0
   [7,]       0       0       0       0       1       1       0       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       1       0       0       0       0       1       0       0
  [10,]       0       0       0       0       1       0       1       0       0
        [,1682] [,1683] [,1684] [,1685] [,1686] [,1687] [,1688] [,1689] [,1690]
   [1,]       0       0       0       1       1       0       0       1       0
   [2,]       1       1       1       0       0       0       0       0       1
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       1       0       0       0       1       0       0       1       1
   [5,]       1       1       1       0       0       1       1       0       0
   [6,]       0       1       1       0       0       1       0       1       1
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       0       0       0       1       1       0       0       0       1
   [9,]       0       0       0       1       0       1       1       0       1
  [10,]       0       0       1       0       0       0       0       0       0
        [,1691] [,1692] [,1693] [,1694] [,1695] [,1696] [,1697] [,1698] [,1699]
   [1,]       1       0       1       1       0       0       0       0       0
   [2,]       1       0       0       1       0       0       0       0       1
   [3,]       0       1       0       1       0       1       0       0       0
   [4,]       0       0       1       0       1       1       0       0       1
   [5,]       1       0       0       0       0       0       0       0       1
   [6,]       1       0       0       0       1       0       0       0       0
   [7,]       1       0       0       0       0       1       0       0       1
   [8,]       1       0       0       1       1       0       0       0       0
   [9,]       0       1       0       1       0       0       0       0       0
  [10,]       0       0       1       0       0       1       0       0       0
        [,1700] [,1701] [,1702] [,1703] [,1704] [,1705] [,1706] [,1707] [,1708]
   [1,]       0       0       1       0       1       0       0       1       0
   [2,]       0       0       0       1       0       0       0       1       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       1       0       0       1       0       1       1       1       1
   [5,]       1       0       0       1       1       0       0       1       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       1       0       0       0       0       1       0       1       0
   [9,]       0       0       0       0       1       0       1       0       0
  [10,]       1       0       0       0       0       0       1       1       1
        [,1709] [,1710] [,1711] [,1712] [,1713] [,1714] [,1715] [,1716] [,1717]
   [1,]       0       1       0       1       0       1       0       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       1       0       0       0       0       1       0       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       1       0       1       0       0       0       0       0
   [8,]       0       1       0       1       0       0       1       1       0
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       0       0       0       0       1       1       1       1       0
        [,1718] [,1719] [,1720] [,1721] [,1722] [,1723] [,1724] [,1725] [,1726]
   [1,]       0       0       1       1       0       0       0       0       0
   [2,]       0       1       0       1       1       0       0       0       0
   [3,]       0       0       1       0       1       0       1       0       0
   [4,]       1       1       0       0       1       0       0       1       0
   [5,]       0       0       0       0       0       0       0       1       1
   [6,]       0       0       0       1       0       0       0       1       1
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       0       0       0       0       1       0       0       1       1
   [9,]       0       0       1       0       1       1       0       0       0
  [10,]       0       1       0       0       0       1       0       0       0
        [,1727] [,1728] [,1729] [,1730] [,1731] [,1732] [,1733] [,1734] [,1735]
   [1,]       0       1       0       0       0       0       1       0       0
   [2,]       0       0       1       1       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       1       0       0       0       0       1       0       0       0
   [5,]       0       0       0       1       0       0       0       0       1
   [6,]       0       0       0       0       0       1       0       0       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       1       0       1       1
   [9,]       0       0       1       1       0       0       1       1       1
  [10,]       0       0       1       0       0       0       0       1       0
        [,1736] [,1737] [,1738] [,1739] [,1740] [,1741] [,1742] [,1743] [,1744]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       1       1       1       0       1       1       1       0       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       1       1       0       1       0       0       0       1       0
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       0       1       0       0       1       0       0       0       0
   [8,]       1       0       1       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,1745] [,1746] [,1747] [,1748] [,1749] [,1750] [,1751] [,1752] [,1753]
   [1,]       0       1       0       0       0       1       0       1       0
   [2,]       0       1       0       1       0       0       1       1       0
   [3,]       0       1       0       1       1       0       1       1       0
   [4,]       1       0       0       1       1       1       0       0       0
   [5,]       1       1       0       0       0       1       1       0       0
   [6,]       0       0       0       0       1       0       0       1       1
   [7,]       0       0       1       0       0       0       0       1       1
   [8,]       0       0       1       0       0       1       0       0       0
   [9,]       1       0       0       0       1       0       0       1       0
  [10,]       0       0       0       0       1       1       0       1       0
        [,1754] [,1755] [,1756] [,1757] [,1758] [,1759] [,1760] [,1761] [,1762]
   [1,]       0       1       1       0       0       1       0       0       0
   [2,]       0       0       0       0       0       0       1       1       0
   [3,]       0       0       0       0       0       1       0       1       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       1       0       0       0       0       1       0       0       0
   [6,]       0       0       0       1       0       0       0       0       1
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       1       0       0       0       0       1       1       0       1
   [9,]       1       1       0       0       1       0       0       1       0
  [10,]       0       1       0       0       1       0       0       1       0
        [,1763] [,1764] [,1765] [,1766] [,1767] [,1768] [,1769] [,1770] [,1771]
   [1,]       0       0       0       1       0       1       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       1       0       1       0       1       0       1
   [4,]       0       0       0       0       0       0       1       1       0
   [5,]       0       0       1       1       1       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       0       0       0       1       0
   [8,]       1       0       0       0       0       0       0       0       1
   [9,]       0       0       0       0       1       1       0       1       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,1772] [,1773] [,1774] [,1775] [,1776] [,1777] [,1778] [,1779] [,1780]
   [1,]       0       0       0       1       0       0       1       0       0
   [2,]       0       1       0       1       0       1       0       1       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       1       0       0       0       1       0       1       0       0
   [6,]       0       1       1       1       0       0       0       1       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       1       0       0       1       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,1781] [,1782] [,1783] [,1784] [,1785] [,1786] [,1787] [,1788] [,1789]
   [1,]       0       1       1       0       0       0       0       0       1
   [2,]       0       0       1       0       1       1       0       0       1
   [3,]       1       0       0       0       0       1       0       1       0
   [4,]       1       0       0       0       0       1       0       0       1
   [5,]       0       0       1       1       0       0       0       1       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       1       0       0       0       0       0       1       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       1       1       0       1       0       0       0       1       1
        [,1790] [,1791] [,1792] [,1793] [,1794] [,1795] [,1796] [,1797] [,1798]
   [1,]       0       0       0       0       1       0       1       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       1       0       0       0       0       0       0       1
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       1       1       0       0       0       1       1       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       1       0       0       0       0       0       1       0       1
  [10,]       1       0       0       0       0       0       0       0       0
        [,1799] [,1800] [,1801] [,1802] [,1803] [,1804] [,1805] [,1806] [,1807]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       0       0       1       0       1
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       1       0       1       1       0       1       0       1       0
   [5,]       0       0       1       0       1       0       0       0       0
   [6,]       0       1       0       0       0       0       0       0       1
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       1       0       1       0       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       1
        [,1808] [,1809] [,1810] [,1811] [,1812] [,1813] [,1814] [,1815] [,1816]
   [1,]       1       1       1       1       1       1       1       0       0
   [2,]       0       0       0       0       0       1       1       0       0
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       1       1       0       1       0       0       0       0       1
   [5,]       1       0       0       0       1       0       1       0       0
   [6,]       0       0       0       1       0       0       1       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       1       1       0       0       1       0       0
   [9,]       1       0       1       0       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,1817] [,1818] [,1819] [,1820] [,1821] [,1822] [,1823] [,1824] [,1825]
   [1,]       0       1       0       1       1       0       0       0       1
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       1       1       1       0       0       0       0       0       0
   [6,]       0       0       0       0       1       1       0       0       0
   [7,]       0       0       1       0       0       1       0       0       1
   [8,]       0       0       1       0       0       1       0       1       0
   [9,]       0       0       1       1       0       0       0       0       0
  [10,]       0       0       0       0       1       1       1       0       0
        [,1826] [,1827] [,1828] [,1829] [,1830] [,1831] [,1832] [,1833] [,1834]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       1       0       0       0       0       0       0       1
   [3,]       1       0       0       0       0       0       1       1       1
   [4,]       0       0       1       0       0       0       1       0       1
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       1       0       0       1       0       1       1       0       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       1       0       0       0       0       1       0       0
   [9,]       0       0       1       0       1       1       0       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,1835] [,1836] [,1837] [,1838] [,1839] [,1840] [,1841] [,1842] [,1843]
   [1,]       0       0       1       0       0       0       0       0       1
   [2,]       0       1       0       1       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       1       1       0       1       0       0       0       0       1
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       1       1       0       0       0       0       0       1
   [7,]       1       0       0       0       0       1       1       1       1
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,1844] [,1845] [,1846] [,1847] [,1848] [,1849] [,1850] [,1851] [,1852]
   [1,]       1       1       0       0       0       0       1       0       1
   [2,]       0       1       0       1       0       0       1       0       0
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       1       0       1       0       0       0       0
   [6,]       0       0       0       0       1       0       1       0       1
   [7,]       0       1       0       0       1       0       0       0       1
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       0       0       1       0       0       1       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,1853] [,1854] [,1855] [,1856] [,1857] [,1858] [,1859] [,1860] [,1861]
   [1,]       0       0       0       1       1       0       0       1       1
   [2,]       0       0       1       1       0       0       0       0       0
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       0       1       0       1       0       1       0       0       0
   [5,]       0       0       0       0       1       0       0       0       1
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       1       0       0       0       0       0       0       0       1
   [8,]       0       0       1       1       0       1       0       0       0
   [9,]       0       0       0       0       0       1       0       0       1
  [10,]       1       0       0       0       0       0       0       0       0
        [,1862] [,1863] [,1864] [,1865] [,1866] [,1867] [,1868] [,1869] [,1870]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       1       0       0       1       0       1       0       0
   [3,]       0       0       0       0       1       0       1       1       0
   [4,]       1       1       0       0       1       0       0       1       0
   [5,]       0       1       1       1       1       0       0       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       1       0       0       0       1       1       0       1
        [,1871] [,1872] [,1873] [,1874] [,1875] [,1876] [,1877] [,1878] [,1879]
   [1,]       0       1       1       0       0       1       0       1       0
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       1       0       0       0       0       0       1       0       0
   [4,]       0       1       0       0       0       0       0       0       1
   [5,]       0       0       0       1       0       0       0       1       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       1       0       0       0       1       0       1       0       1
   [8,]       0       0       0       1       1       0       1       1       0
   [9,]       0       0       0       1       1       0       1       0       0
  [10,]       0       0       0       1       0       0       0       1       0
        [,1880] [,1881] [,1882] [,1883] [,1884] [,1885] [,1886] [,1887] [,1888]
   [1,]       1       0       0       0       1       0       0       0       1
   [2,]       0       0       1       0       0       0       1       0       0
   [3,]       1       0       1       0       0       0       0       0       0
   [4,]       0       1       0       0       0       0       0       1       0
   [5,]       0       0       1       1       0       0       0       0       0
   [6,]       0       0       0       1       1       0       0       1       1
   [7,]       0       1       0       1       1       0       0       0       0
   [8,]       1       1       0       1       0       1       0       1       0
   [9,]       0       0       0       0       0       1       0       1       0
  [10,]       1       0       0       1       0       0       0       0       0
        [,1889] [,1890] [,1891] [,1892] [,1893] [,1894] [,1895] [,1896] [,1897]
   [1,]       0       1       1       0       0       1       1       1       0
   [2,]       0       0       0       0       1       0       0       1       1
   [3,]       0       0       0       1       0       0       1       0       1
   [4,]       1       0       0       0       0       0       0       1       0
   [5,]       1       0       0       1       0       0       1       0       1
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       1       0       1       0       1       0       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       1       1       0       0       0       1       0       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,1898] [,1899] [,1900] [,1901] [,1902] [,1903] [,1904] [,1905] [,1906]
   [1,]       0       0       0       0       0       1       1       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       1       0       0       1       0       1
   [4,]       0       1       0       0       1       1       0       0       0
   [5,]       0       0       0       1       1       0       1       0       1
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       0       0       0       1       0       1       0       1
   [8,]       1       0       1       1       0       0       0       0       1
   [9,]       0       1       1       0       0       1       0       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,1907] [,1908] [,1909] [,1910] [,1911] [,1912] [,1913] [,1914] [,1915]
   [1,]       0       1       1       0       1       0       0       0       0
   [2,]       0       1       0       0       1       0       0       0       1
   [3,]       0       0       0       0       0       0       0       1       1
   [4,]       1       0       0       0       0       0       1       1       0
   [5,]       1       1       0       1       0       0       0       0       0
   [6,]       0       1       0       0       0       1       1       0       1
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       1       1       1       1       0       0       0       0       0
   [9,]       0       0       1       1       0       0       0       1       0
  [10,]       1       0       0       0       1       0       1       0       0
        [,1916] [,1917] [,1918] [,1919] [,1920] [,1921] [,1922] [,1923] [,1924]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       0       0       1       0       1       0       1       0
   [4,]       0       1       0       1       0       0       1       0       0
   [5,]       1       0       0       1       0       0       1       0       0
   [6,]       0       1       0       0       0       1       0       0       0
   [7,]       0       0       0       1       0       0       0       1       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       1       1       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,1925] [,1926] [,1927] [,1928] [,1929] [,1930] [,1931] [,1932] [,1933]
   [1,]       0       0       0       0       1       1       0       1       1
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       1       0       1       0       0       0       0       0       1
   [4,]       0       0       0       1       0       0       0       1       1
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       1       0       0       0       0       0       1       0       0
   [8,]       0       1       0       0       0       0       0       1       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       1       0       0       1       0       0       1       1
        [,1934] [,1935] [,1936] [,1937] [,1938] [,1939] [,1940] [,1941] [,1942]
   [1,]       0       0       0       0       0       1       0       0       1
   [2,]       1       1       0       0       1       0       0       1       0
   [3,]       0       0       0       1       1       0       0       0       1
   [4,]       1       0       0       0       0       0       1       0       0
   [5,]       0       0       0       1       1       0       1       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       1       1       0       0       0       1       1       1
   [9,]       0       0       1       0       0       0       1       1       0
  [10,]       0       1       0       1       0       1       0       1       0
        [,1943] [,1944] [,1945] [,1946] [,1947] [,1948] [,1949] [,1950] [,1951]
   [1,]       1       0       0       1       0       0       0       1       0
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       1       0       0       1       0       0
   [5,]       1       1       1       0       0       1       0       1       1
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       0       0       1       0       0       1       1       1
   [8,]       0       0       0       1       1       0       0       1       0
   [9,]       0       1       0       0       1       0       0       0       1
  [10,]       1       0       0       0       0       1       0       0       1
        [,1952] [,1953] [,1954] [,1955] [,1956] [,1957] [,1958] [,1959] [,1960]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       1       0       0       0       0       0       1       1       0
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       0       1       0       1       1       1       1       0
   [6,]       0       1       1       1       0       1       0       0       0
   [7,]       0       0       0       0       0       1       0       0       1
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       1       0       0       0       1       0       1       0       1
  [10,]       1       0       0       1       0       1       0       0       0
        [,1961] [,1962] [,1963] [,1964] [,1965] [,1966] [,1967] [,1968] [,1969]
   [1,]       1       0       1       0       0       1       0       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       0       0       1       1       0       1       0
   [5,]       0       1       1       0       0       1       1       0       0
   [6,]       1       1       0       0       0       0       0       0       1
   [7,]       0       0       0       0       1       1       0       0       0
   [8,]       0       0       0       0       0       1       0       0       1
   [9,]       1       1       0       1       0       0       0       0       1
  [10,]       0       0       1       0       1       0       1       0       0
        [,1970] [,1971] [,1972] [,1973] [,1974] [,1975] [,1976] [,1977] [,1978]
   [1,]       1       0       0       0       0       0       0       0       1
   [2,]       0       1       0       1       0       0       1       1       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       0       0       1       0       0       0       1
   [5,]       1       1       0       0       0       0       0       1       0
   [6,]       1       0       0       1       0       0       0       1       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       1       1       0       0       0       1       1       0       0
   [9,]       0       0       1       0       1       1       1       1       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,1979] [,1980] [,1981] [,1982] [,1983] [,1984] [,1985] [,1986] [,1987]
   [1,]       0       0       0       1       1       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       1       0       0       1       0       1       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       1       0       1
   [7,]       1       1       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       1       1       0       0       1       1       0       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,1988] [,1989] [,1990] [,1991] [,1992] [,1993] [,1994] [,1995] [,1996]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       1       0       1       0       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       1       0       0       0       0       1       1       0       1
   [5,]       0       0       0       0       1       0       1       0       0
   [6,]       0       0       1       0       0       0       0       1       0
   [7,]       0       0       0       1       1       1       0       0       0
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       0       1       0       1       0       1       0       0       0
  [10,]       0       0       0       0       0       0       1       1       1
        [,1997] [,1998] [,1999] [,2000] [,2001] [,2002] [,2003] [,2004] [,2005]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       1       0       1       1       0       1       0       1       0
   [3,]       1       1       0       1       1       1       0       0       1
   [4,]       0       0       0       1       0       0       0       1       0
   [5,]       0       1       0       0       0       1       0       0       0
   [6,]       0       0       0       1       0       0       0       1       1
   [7,]       1       1       1       0       1       0       0       0       0
   [8,]       1       0       0       0       0       0       0       1       1
   [9,]       0       0       0       0       1       1       0       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,2006] [,2007] [,2008] [,2009] [,2010] [,2011] [,2012] [,2013] [,2014]
   [1,]       0       1       0       1       1       0       0       0       0
   [2,]       1       0       1       0       0       1       0       0       0
   [3,]       0       1       0       1       0       0       0       1       1
   [4,]       0       1       1       0       0       0       0       1       0
   [5,]       0       1       0       0       0       0       0       0       1
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       1       0       0       0       1       1       1
   [8,]       0       0       1       0       0       0       1       1       1
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,2015] [,2016] [,2017] [,2018] [,2019] [,2020] [,2021] [,2022] [,2023]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       1       1       0       0       0       1       0       0       0
   [3,]       1       0       1       1       0       1       0       0       1
   [4,]       0       0       0       0       1       1       1       0       0
   [5,]       1       0       1       1       1       0       0       0       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       1       0       0       0       0       0       0       1       1
  [10,]       0       1       0       1       0       1       1       0       0
        [,2024] [,2025] [,2026] [,2027] [,2028] [,2029] [,2030] [,2031] [,2032]
   [1,]       1       0       0       0       0       1       0       0       0
   [2,]       1       0       1       0       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       0       0       0       0       1       0       1       1
   [5,]       0       1       1       0       0       0       0       1       1
   [6,]       0       0       0       0       0       1       0       1       0
   [7,]       0       0       0       1       0       1       1       1       0
   [8,]       0       0       0       0       1       0       0       1       0
   [9,]       0       0       0       0       1       0       0       0       1
  [10,]       1       0       0       0       0       1       1       1       0
        [,2033] [,2034] [,2035] [,2036] [,2037] [,2038] [,2039] [,2040] [,2041]
   [1,]       0       1       0       0       1       0       0       0       0
   [2,]       1       0       0       0       0       0       1       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       0       1       1       0       0       1       1       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       1       0       0       1       1       0       0       1       0
   [8,]       0       0       0       1       0       1       1       1       1
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       1       1       0       0       0       0       0       0       0
        [,2042] [,2043] [,2044] [,2045] [,2046] [,2047] [,2048] [,2049] [,2050]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       1       0       0       1       1       0       0       0
   [3,]       0       0       1       0       1       0       1       1       0
   [4,]       0       0       0       0       1       0       1       0       0
   [5,]       0       1       1       0       0       0       0       0       1
   [6,]       0       0       0       0       0       1       1       0       0
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       0       1       1       0       0       0       0       1       0
   [9,]       0       0       1       0       0       0       0       1       0
  [10,]       1       0       0       0       0       0       0       0       0
        [,2051] [,2052] [,2053] [,2054] [,2055] [,2056] [,2057] [,2058] [,2059]
   [1,]       1       1       0       1       0       1       0       0       0
   [2,]       0       1       0       0       1       1       0       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       1       0       0       1       0       0       0       0
   [5,]       0       1       1       1       0       0       0       0       0
   [6,]       0       0       1       0       0       1       0       0       1
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       0       1       0       0       0       0       1       1       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,2060] [,2061] [,2062] [,2063] [,2064] [,2065] [,2066] [,2067] [,2068]
   [1,]       1       1       0       0       0       1       0       0       0
   [2,]       1       0       0       0       0       0       1       1       0
   [3,]       0       0       0       0       1       0       0       1       0
   [4,]       0       1       1       0       1       0       1       0       0
   [5,]       0       0       0       0       0       0       1       1       0
   [6,]       0       0       1       0       0       0       0       1       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       0       1       1       0       0       1       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       1       0       0       1       1       0
        [,2069] [,2070] [,2071] [,2072] [,2073] [,2074] [,2075] [,2076] [,2077]
   [1,]       0       1       0       0       0       0       0       1       0
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       1       0       0       0       0       1       0       0
   [5,]       0       0       1       1       0       1       1       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       1       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,2078] [,2079] [,2080] [,2081] [,2082] [,2083] [,2084] [,2085] [,2086]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       1       0       1       0       1       0       1       0
   [3,]       0       0       1       0       0       0       1       0       0
   [4,]       0       0       0       0       1       0       1       1       1
   [5,]       1       1       1       0       0       1       0       0       0
   [6,]       0       1       0       0       0       0       0       0       1
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       1       0       0       1       0       0       0       0
   [9,]       0       0       0       1       0       0       1       0       0
  [10,]       0       0       0       0       1       1       0       1       0
        [,2087] [,2088] [,2089] [,2090] [,2091] [,2092] [,2093] [,2094] [,2095]
   [1,]       0       1       0       0       0       1       0       0       1
   [2,]       0       1       0       1       1       0       0       1       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       1       0
   [5,]       0       1       0       1       0       0       0       0       0
   [6,]       0       0       0       1       1       1       0       1       1
   [7,]       0       0       0       0       1       0       1       0       0
   [8,]       1       1       0       1       0       0       0       0       0
   [9,]       0       1       0       0       1       0       0       1       0
  [10,]       0       0       1       0       1       0       0       0       0
        [,2096] [,2097] [,2098] [,2099] [,2100] [,2101] [,2102] [,2103] [,2104]
   [1,]       1       0       0       1       1       0       1       1       0
   [2,]       0       0       1       0       0       1       1       0       0
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       1       1       0       1       0       1       0       0       0
   [5,]       1       0       1       1       0       1       0       1       0
   [6,]       0       0       0       0       0       1       0       1       0
   [7,]       0       1       1       1       0       0       1       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       0       0       0       1       1       0       0       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,2105] [,2106] [,2107] [,2108] [,2109] [,2110] [,2111] [,2112] [,2113]
   [1,]       1       0       0       1       0       0       1       1       1
   [2,]       1       0       1       0       0       0       1       0       0
   [3,]       1       0       0       0       1       1       1       0       0
   [4,]       0       1       0       0       0       1       1       0       0
   [5,]       0       1       0       0       0       0       0       1       1
   [6,]       0       0       0       0       0       0       1       1       0
   [7,]       1       0       1       0       1       1       1       0       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       1       0       1       1       0       1       1       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,2114] [,2115] [,2116] [,2117] [,2118] [,2119] [,2120] [,2121] [,2122]
   [1,]       0       1       1       0       1       1       1       0       0
   [2,]       0       0       0       0       1       0       0       0       1
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       1       1       0       0       0       0       1
   [5,]       0       0       0       1       1       0       0       1       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       1       0       1       0       0       0       0       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       0       0       0       1       1       0       0       0
  [10,]       1       0       0       0       0       1       0       1       0
        [,2123] [,2124] [,2125] [,2126] [,2127] [,2128] [,2129] [,2130] [,2131]
   [1,]       0       0       0       1       1       1       0       0       0
   [2,]       0       1       0       0       0       1       1       0       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       1       0       0       1       0       0       0       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       0       0       0       0       1       0       1       0       0
   [8,]       0       0       1       1       1       0       0       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,2132] [,2133] [,2134] [,2135] [,2136] [,2137] [,2138] [,2139] [,2140]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       0       1       0       0       0       0       1
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       0       1
   [5,]       0       0       0       0       1       0       0       1       0
   [6,]       0       1       1       0       0       0       0       1       0
   [7,]       1       0       1       0       0       0       0       0       0
   [8,]       1       0       1       0       0       1       0       0       0
   [9,]       1       0       0       0       1       1       0       0       0
  [10,]       0       1       0       0       0       0       0       0       1
        [,2141] [,2142] [,2143] [,2144] [,2145] [,2146] [,2147] [,2148] [,2149]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       1       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       1       0       1       1
   [5,]       0       1       0       0       0       0       0       1       1
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       1       0       0       0       0       0       1       0
   [8,]       0       1       0       1       0       0       1       0       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       1       0       0       0       1       0       0       0
        [,2150] [,2151] [,2152] [,2153] [,2154] [,2155] [,2156] [,2157] [,2158]
   [1,]       0       1       0       1       0       0       0       0       0
   [2,]       1       0       0       0       1       0       0       0       1
   [3,]       0       0       1       0       0       0       0       1       0
   [4,]       0       0       0       0       1       1       0       0       0
   [5,]       0       0       0       0       1       1       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       0       1       0       0       1       1       0
   [8,]       0       0       0       1       0       1       1       1       0
   [9,]       0       0       0       1       0       0       1       0       0
  [10,]       1       0       0       1       0       0       0       1       1
        [,2159] [,2160] [,2161] [,2162] [,2163] [,2164] [,2165] [,2166] [,2167]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       1       0       1       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       0       0       0       0       1       0       1       0       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       0       0       1       0       0       1       1       0
   [8,]       0       0       0       0       1       0       0       0       1
   [9,]       0       1       1       0       1       0       1       0       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,2168] [,2169] [,2170] [,2171] [,2172] [,2173] [,2174] [,2175] [,2176]
   [1,]       1       0       1       0       1       1       0       1       0
   [2,]       0       1       1       0       0       0       0       0       0
   [3,]       1       0       0       0       0       0       0       0       1
   [4,]       0       0       0       0       0       1       0       1       0
   [5,]       1       0       0       0       0       0       1       0       1
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       1       0       0       0       0       0       0       1       1
   [8,]       0       0       1       1       0       0       1       0       1
   [9,]       0       0       1       0       0       1       0       0       0
  [10,]       0       0       0       1       1       1       0       0       0
        [,2177] [,2178] [,2179] [,2180] [,2181] [,2182] [,2183] [,2184] [,2185]
   [1,]       0       0       1       0       0       0       0       0       1
   [2,]       0       0       0       0       0       0       1       0       1
   [3,]       0       0       1       0       1       1       0       1       0
   [4,]       1       0       0       0       1       1       0       0       0
   [5,]       0       0       0       0       1       0       1       0       0
   [6,]       0       1       0       0       1       0       0       1       0
   [7,]       1       1       1       1       0       0       1       0       0
   [8,]       0       0       0       1       0       0       0       0       1
   [9,]       0       0       1       0       0       0       1       0       0
  [10,]       0       1       0       0       1       1       0       0       0
        [,2186] [,2187] [,2188] [,2189] [,2190] [,2191] [,2192] [,2193] [,2194]
   [1,]       0       0       0       1       0       0       1       0       1
   [2,]       0       1       1       0       0       0       1       1       1
   [3,]       1       0       0       0       0       1       1       1       1
   [4,]       0       0       0       0       0       0       1       0       1
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       0       0       1       0       0       0       0       1
   [7,]       0       1       0       0       1       0       0       0       0
   [8,]       1       0       0       0       0       1       1       0       0
   [9,]       1       0       0       0       1       0       1       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,2195] [,2196] [,2197] [,2198] [,2199] [,2200] [,2201] [,2202] [,2203]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       0       1       0       1       0
   [3,]       1       0       0       0       0       1       0       0       0
   [4,]       0       0       1       0       0       0       1       0       1
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       1       1       0       0       0       1       0
   [8,]       1       0       0       1       1       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       1       0       1       1       0       1       0       0
        [,2204] [,2205] [,2206] [,2207] [,2208] [,2209] [,2210] [,2211] [,2212]
   [1,]       1       0       0       1       0       0       0       0       0
   [2,]       0       0       0       1       0       0       1       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       0       0       1       0       1       1       0       0
   [5,]       1       0       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       1       0       1       0
   [7,]       1       0       0       0       0       0       1       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       1       1       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,2213] [,2214] [,2215] [,2216] [,2217] [,2218] [,2219] [,2220] [,2221]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       1       1       1
   [3,]       1       0       1       0       0       0       1       0       0
   [4,]       0       1       0       0       0       0       0       1       1
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       0       0       0       1       0       0       1       0
   [7,]       0       0       1       0       1       0       1       0       0
   [8,]       0       0       0       1       1       0       0       0       0
   [9,]       0       1       1       0       1       0       0       0       1
  [10,]       1       0       0       0       1       1       0       0       0
        [,2222] [,2223] [,2224] [,2225] [,2226] [,2227] [,2228] [,2229] [,2230]
   [1,]       1       1       0       0       1       0       0       0       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       0       0       1       0       1       0       0       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       1       0       1       0       0       0       0       0
   [6,]       1       1       0       1       1       0       0       0       0
   [7,]       1       0       0       0       1       0       0       1       1
   [8,]       0       1       0       0       0       0       1       0       0
   [9,]       1       0       0       1       1       0       0       0       0
  [10,]       1       1       0       0       0       1       1       0       0
        [,2231] [,2232] [,2233] [,2234] [,2235] [,2236] [,2237] [,2238] [,2239]
   [1,]       0       0       1       0       0       1       0       1       0
   [2,]       0       1       0       1       0       0       0       0       0
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       1       1       1       1       0       1       0       0
   [8,]       0       1       1       0       1       0       0       0       0
   [9,]       1       0       0       0       0       1       0       0       1
  [10,]       0       0       0       0       1       0       0       0       0
        [,2240] [,2241] [,2242] [,2243] [,2244] [,2245] [,2246] [,2247] [,2248]
   [1,]       0       0       0       0       0       1       1       1       0
   [2,]       0       0       0       1       1       0       0       0       1
   [3,]       1       0       0       0       0       0       0       1       1
   [4,]       1       1       0       0       1       1       1       0       0
   [5,]       0       0       0       1       1       0       0       0       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       0       1       0       0       1       0       0       0
   [8,]       0       0       0       0       1       0       1       0       1
   [9,]       0       0       0       0       0       1       0       1       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,2249] [,2250] [,2251] [,2252] [,2253] [,2254] [,2255] [,2256] [,2257]
   [1,]       1       1       0       1       1       0       1       0       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       0       0       0       1       1       0       0       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       1       0       0       1       1       1       1       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       0       1       1       0       0       0       0       0
   [8,]       0       0       1       1       0       0       0       0       0
   [9,]       1       1       0       1       1       0       0       0       0
  [10,]       1       0       0       1       1       0       0       0       0
        [,2258] [,2259] [,2260] [,2261] [,2262] [,2263] [,2264] [,2265] [,2266]
   [1,]       1       0       1       1       0       1       0       0       0
   [2,]       0       0       0       1       0       0       1       0       0
   [3,]       1       0       0       0       1       0       0       0       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       1       1       0       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       1       0       1       1       0       1       0       0       0
        [,2267] [,2268] [,2269] [,2270] [,2271] [,2272] [,2273] [,2274] [,2275]
   [1,]       0       0       1       0       0       0       1       0       1
   [2,]       0       0       1       0       0       0       1       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       1       0       0       1       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       1       1       0       0       0       0       0       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       0       0       0       1       1       1       0       0
   [9,]       0       0       1       1       0       0       1       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,2276] [,2277] [,2278] [,2279] [,2280] [,2281] [,2282] [,2283] [,2284]
   [1,]       0       0       0       0       0       1       0       0       1
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       1       0       0       1       0       0       0       0
   [4,]       0       0       1       1       0       0       0       0       0
   [5,]       1       1       1       1       0       0       0       0       1
   [6,]       0       1       0       1       1       0       0       0       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       0       0       1       0       1       1       0       1
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       1       0       0       0       0       0       1       0       0
        [,2285] [,2286] [,2287] [,2288] [,2289] [,2290] [,2291] [,2292] [,2293]
   [1,]       1       1       0       0       0       1       1       1       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       1       1       0       1       0       0       0       1       0
   [4,]       0       0       0       0       0       0       1       1       0
   [5,]       1       0       1       1       0       0       0       0       1
   [6,]       0       1       0       0       0       1       0       0       0
   [7,]       1       0       1       0       0       0       1       0       0
   [8,]       0       0       0       0       1       0       0       0       1
   [9,]       0       1       0       0       1       1       1       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,2294] [,2295] [,2296] [,2297] [,2298] [,2299] [,2300] [,2301] [,2302]
   [1,]       0       0       0       0       0       0       1       0       1
   [2,]       0       1       0       1       0       1       1       0       0
   [3,]       1       0       0       0       0       1       0       0       1
   [4,]       0       1       0       1       1       1       1       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       1       0       0       0       0       0       0       1       0
   [7,]       1       0       0       0       0       0       1       1       0
   [8,]       0       1       0       0       1       0       1       0       0
   [9,]       0       0       0       0       0       0       1       1       0
  [10,]       0       1       0       0       1       0       0       1       0
        [,2303] [,2304] [,2305] [,2306] [,2307] [,2308] [,2309] [,2310] [,2311]
   [1,]       0       1       1       0       0       1       1       1       0
   [2,]       1       1       1       0       1       0       1       0       0
   [3,]       1       0       1       0       0       1       0       0       1
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       1       0       0       1       0       1       0       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       1       1       1       1       0       0       0       0
   [8,]       0       1       0       1       1       1       0       0       0
   [9,]       0       1       0       1       0       0       0       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,2312] [,2313] [,2314] [,2315] [,2316] [,2317] [,2318] [,2319] [,2320]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       0       1       0       1       0       1       0       1
   [3,]       0       1       1       0       0       0       0       0       1
   [4,]       1       0       0       0       1       1       0       1       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       1       0       0       0       0       0       1       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       0       0       0       1       0       0       1       0
   [9,]       0       0       1       0       0       1       0       1       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,2321] [,2322] [,2323] [,2324] [,2325] [,2326] [,2327] [,2328] [,2329]
   [1,]       0       0       1       1       0       0       0       0       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       1       0       0       0       0       0       0       1
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       1       1       0       0       1       0       0       0       0
   [6,]       0       0       0       1       0       1       1       1       0
   [7,]       0       0       0       1       0       1       0       0       0
   [8,]       0       0       0       0       0       1       1       0       0
   [9,]       1       0       0       0       0       0       0       1       0
  [10,]       0       0       0       1       1       1       1       1       0
        [,2330] [,2331] [,2332] [,2333] [,2334] [,2335] [,2336] [,2337] [,2338]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       1       0       0       1       1       0       0       0       0
   [3,]       0       1       0       0       0       0       1       1       0
   [4,]       1       0       0       0       1       0       1       0       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       0       0       0       0       0       1       1       1
   [7,]       0       1       0       1       0       0       1       0       0
   [8,]       0       1       1       0       1       0       0       1       0
   [9,]       1       1       0       0       1       1       0       0       0
  [10,]       1       0       0       1       0       1       1       0       0
        [,2339] [,2340] [,2341] [,2342] [,2343] [,2344] [,2345] [,2346] [,2347]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       1       1       0       0       1       0       0       0       0
   [3,]       0       0       1       0       1       0       0       0       1
   [4,]       0       0       0       1       0       0       0       0       1
   [5,]       1       0       0       1       0       0       0       1       1
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       1       1       0       0       0       1       0       0
   [8,]       0       1       1       0       1       0       0       0       0
   [9,]       0       0       0       1       0       1       0       0       0
  [10,]       0       0       1       0       0       0       0       0       1
        [,2348] [,2349] [,2350] [,2351] [,2352] [,2353] [,2354] [,2355] [,2356]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       1       0       0       1       0       0       1
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       1       0       1       0       1       0       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       1       0       0       0       0       0       0       1       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       1       0       0       0       0       0       1       1
  [10,]       1       1       1       0       0       0       0       0       1
        [,2357] [,2358] [,2359] [,2360] [,2361] [,2362] [,2363] [,2364] [,2365]
   [1,]       0       0       0       1       0       0       1       1       0
   [2,]       0       1       1       0       0       1       1       0       1
   [3,]       0       0       1       0       0       0       1       1       0
   [4,]       1       0       0       0       1       1       0       1       1
   [5,]       1       0       0       0       1       0       0       0       1
   [6,]       0       0       0       1       1       0       0       0       1
   [7,]       1       1       0       0       0       0       0       0       0
   [8,]       1       1       0       0       0       0       0       1       0
   [9,]       1       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       1       1
        [,2366] [,2367] [,2368] [,2369] [,2370] [,2371] [,2372] [,2373] [,2374]
   [1,]       0       0       0       1       0       1       0       1       0
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       0       0       0       0       1       1       1       0       1
   [5,]       0       0       1       0       0       0       1       0       0
   [6,]       1       0       1       0       0       0       0       1       0
   [7,]       1       0       0       0       0       0       1       1       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       0       0       1       0       0       0       1       0
  [10,]       0       0       0       0       1       0       1       0       0
        [,2375] [,2376] [,2377] [,2378] [,2379] [,2380] [,2381] [,2382] [,2383]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       1       1       0       0       1       0       0       1       1
   [3,]       1       0       0       0       0       0       1       0       1
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       1       1       0       0       1       0       0       1
   [6,]       0       1       0       0       0       0       1       0       0
   [7,]       0       0       1       0       1       0       1       0       0
   [8,]       0       1       1       0       0       1       1       0       0
   [9,]       0       0       0       1       0       1       0       0       0
  [10,]       1       0       0       0       1       1       0       0       0
        [,2384] [,2385] [,2386] [,2387] [,2388] [,2389] [,2390] [,2391] [,2392]
   [1,]       1       0       1       1       0       0       1       0       1
   [2,]       0       0       0       0       0       1       1       0       0
   [3,]       1       0       1       0       1       0       0       0       1
   [4,]       0       0       0       1       0       0       1       0       0
   [5,]       1       0       0       0       1       0       0       1       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       0       0       0       0       0       1       1       1
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       1       1       1       0       1
        [,2393] [,2394] [,2395] [,2396] [,2397] [,2398] [,2399] [,2400] [,2401]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       0       0       0       1       0       0       0       1
   [5,]       0       1       1       0       0       0       0       1       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       1       0       0       0       0       0       0       1       1
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       0       0       0       0       1
  [10,]       0       0       0       0       0       1       0       0       1
        [,2402] [,2403] [,2404] [,2405] [,2406] [,2407] [,2408] [,2409] [,2410]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       1       0       0       1       0       1       0       0
   [3,]       0       0       1       0       0       1       0       0       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       0       0       0       0       1       1       1       0
   [6,]       0       1       0       1       0       0       0       0       0
   [7,]       0       1       1       0       0       0       0       0       0
   [8,]       0       1       0       0       1       1       1       1       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       0       1       1       0       0       0       1       0
        [,2411] [,2412] [,2413] [,2414] [,2415] [,2416] [,2417] [,2418] [,2419]
   [1,]       0       0       0       1       0       0       0       1       0
   [2,]       1       1       0       0       0       0       0       0       0
   [3,]       0       1       0       0       0       0       1       0       1
   [4,]       1       0       1       0       0       1       1       0       0
   [5,]       0       0       0       0       0       1       1       0       0
   [6,]       0       0       0       1       0       1       1       0       1
   [7,]       1       1       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       1       0       0       0       1
  [10,]       0       0       1       0       1       0       0       1       1
        [,2420] [,2421] [,2422] [,2423] [,2424] [,2425] [,2426] [,2427] [,2428]
   [1,]       0       0       1       0       1       0       0       0       0
   [2,]       0       1       0       0       0       0       0       0       1
   [3,]       0       1       0       0       1       1       1       1       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       1       1       0       0       1       1       0       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       0       0       0       1       1       0       0
   [8,]       0       0       0       1       0       0       1       0       1
   [9,]       0       1       0       1       1       1       0       1       0
  [10,]       0       1       0       0       0       0       1       0       0
        [,2429] [,2430] [,2431] [,2432] [,2433] [,2434] [,2435] [,2436] [,2437]
   [1,]       0       1       0       0       0       0       0       1       0
   [2,]       0       1       0       0       1       0       0       0       0
   [3,]       1       0       0       0       0       0       1       0       0
   [4,]       1       1       1       0       1       1       1       1       0
   [5,]       0       1       0       0       0       0       1       0       1
   [6,]       0       0       1       1       0       1       0       0       0
   [7,]       0       1       1       0       1       0       0       0       1
   [8,]       1       1       1       1       0       0       0       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       1       0       0       1       1       0       0
        [,2438] [,2439] [,2440] [,2441] [,2442] [,2443] [,2444] [,2445] [,2446]
   [1,]       0       0       0       0       1       0       1       0       0
   [2,]       1       0       0       0       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       1       0       0       1       1       0       0       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       0       0       1       1       0       0       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       1       0       0       0       0       0       0       0       1
  [10,]       0       0       1       0       0       0       0       1       0
        [,2447] [,2448] [,2449] [,2450] [,2451] [,2452] [,2453] [,2454] [,2455]
   [1,]       0       0       0       0       1       0       0       1       1
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       0       0       1       0       0       0       1       0       0
   [5,]       0       0       0       0       0       0       1       0       1
   [6,]       0       0       1       1       1       1       0       0       1
   [7,]       0       0       1       0       0       1       0       0       0
   [8,]       0       1       0       1       0       0       0       0       0
   [9,]       1       0       1       0       1       0       0       0       1
  [10,]       0       0       0       1       0       0       0       1       0
        [,2456] [,2457] [,2458] [,2459] [,2460] [,2461] [,2462] [,2463] [,2464]
   [1,]       0       1       0       1       0       1       0       0       0
   [2,]       0       0       0       0       1       0       0       1       1
   [3,]       0       1       1       0       0       0       0       1       0
   [4,]       0       0       1       1       1       1       0       1       0
   [5,]       0       0       0       0       0       0       0       1       1
   [6,]       0       0       1       0       1       1       0       1       1
   [7,]       0       1       1       0       0       0       1       1       0
   [8,]       0       0       1       0       1       0       0       0       0
   [9,]       1       0       0       0       0       0       0       0       1
  [10,]       0       1       0       0       0       0       0       0       0
        [,2465] [,2466] [,2467] [,2468] [,2469] [,2470] [,2471] [,2472] [,2473]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       0       0       1       0       0       1
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       1       0       1       0       1       0       1       0
   [6,]       1       0       0       0       1       0       0       0       0
   [7,]       0       0       0       1       1       0       1       0       1
   [8,]       0       1       0       1       0       0       1       0       0
   [9,]       0       0       0       0       0       0       1       1       1
  [10,]       1       0       0       0       1       0       0       1       0
        [,2474] [,2475] [,2476] [,2477] [,2478] [,2479] [,2480] [,2481] [,2482]
   [1,]       1       1       1       0       0       0       1       0       1
   [2,]       1       1       0       0       0       0       0       1       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       1       0       0       0       0       0       1       0
   [5,]       0       0       0       1       0       0       1       0       0
   [6,]       1       1       1       1       0       0       1       0       1
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       1       1       0       0       0       0       0       1
   [9,]       1       0       0       0       1       0       1       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,2483] [,2484] [,2485] [,2486] [,2487] [,2488] [,2489] [,2490] [,2491]
   [1,]       1       1       0       0       0       0       1       1       0
   [2,]       0       1       0       1       0       0       0       1       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       1       0       1       0       1       0       0       0       1
   [5,]       1       0       0       1       0       0       1       0       0
   [6,]       0       1       1       1       0       0       0       0       1
   [7,]       0       0       1       0       0       1       0       0       0
   [8,]       0       1       1       0       0       1       0       1       1
   [9,]       1       0       0       0       0       0       1       0       1
  [10,]       1       0       0       1       0       0       1       0       0
        [,2492] [,2493] [,2494] [,2495] [,2496] [,2497] [,2498] [,2499] [,2500]
   [1,]       0       1       1       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       0       0       0       0       0       1       0       0
   [7,]       1       1       0       1       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       1       1
   [9,]       1       0       0       0       0       1       0       1       0
  [10,]       0       0       0       1       0       0       0       1       0
        [,2501] [,2502] [,2503] [,2504] [,2505] [,2506] [,2507] [,2508] [,2509]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       1       0       0       1       0       0       0       0
   [4,]       0       0       0       1       0       1       0       0       0
   [5,]       0       1       0       1       0       1       0       0       0
   [6,]       0       1       0       1       0       0       0       0       1
   [7,]       1       1       1       1       0       1       0       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       0       1       0       0       1       0       0
  [10,]       1       1       0       0       0       1       0       0       0
        [,2510] [,2511] [,2512] [,2513] [,2514] [,2515] [,2516] [,2517] [,2518]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       1       1       1       0       1
   [5,]       0       0       1       0       0       0       1       1       1
   [6,]       1       1       0       0       1       1       0       0       1
   [7,]       0       1       0       1       0       0       1       0       0
   [8,]       0       0       0       0       1       0       0       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,2519] [,2520] [,2521] [,2522] [,2523] [,2524] [,2525] [,2526] [,2527]
   [1,]       0       1       0       0       0       0       1       1       0
   [2,]       0       0       0       1       0       1       0       0       1
   [3,]       0       1       0       0       1       0       1       0       0
   [4,]       0       0       0       0       1       0       0       1       1
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,2528] [,2529] [,2530] [,2531] [,2532] [,2533] [,2534] [,2535] [,2536]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       1       0       1       0       1       0       0       0       1
   [3,]       0       0       1       0       0       0       1       0       0
   [4,]       1       0       0       0       0       0       1       0       0
   [5,]       0       1       0       1       0       1       0       0       0
   [6,]       1       0       0       1       0       0       0       1       0
   [7,]       0       1       0       1       0       0       1       1       0
   [8,]       0       1       0       1       1       0       0       0       1
   [9,]       0       0       1       1       0       0       0       0       1
  [10,]       0       0       0       1       0       0       1       0       0
        [,2537] [,2538] [,2539] [,2540] [,2541] [,2542] [,2543] [,2544] [,2545]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       1       0       0       0       0       1       1       0       1
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       1       1       1       0       0       0       0       0       0
   [5,]       0       0       0       1       1       0       0       0       0
   [6,]       0       1       1       0       1       0       0       1       0
   [7,]       1       0       0       0       1       0       0       1       1
   [8,]       0       0       0       1       0       0       0       0       1
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       1       0       1
        [,2546] [,2547] [,2548] [,2549] [,2550] [,2551] [,2552] [,2553] [,2554]
   [1,]       1       0       0       0       1       1       0       0       1
   [2,]       1       1       0       1       1       1       0       0       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       1       1       0       0       0       0
   [5,]       0       0       0       0       0       0       1       0       1
   [6,]       0       1       0       0       1       1       1       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       0       0       0       0       0       1       1       0
   [9,]       1       0       0       0       0       1       0       1       0
  [10,]       0       1       0       1       0       0       1       0       0
        [,2555] [,2556] [,2557] [,2558] [,2559] [,2560] [,2561] [,2562] [,2563]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       0       0       1       0       0       0       0       0       1
   [3,]       0       1       0       0       0       0       0       1       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       0       0       0       1       0       0       1       0       1
   [6,]       1       1       0       0       0       0       1       0       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       1       0       0       0       0       0       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       1       0       0       1       0       0       1       0       0
        [,2564] [,2565] [,2566] [,2567] [,2568] [,2569] [,2570] [,2571] [,2572]
   [1,]       0       1       0       0       0       0       0       1       1
   [2,]       0       0       0       1       0       0       1       1       1
   [3,]       1       1       0       0       1       1       1       0       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       0       1       1       1       0       0       0       1
   [6,]       0       1       0       0       0       0       0       1       0
   [7,]       1       0       0       1       0       0       1       1       0
   [8,]       0       0       0       0       0       0       1       1       0
   [9,]       1       0       0       1       0       0       0       1       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,2573] [,2574] [,2575] [,2576] [,2577] [,2578] [,2579] [,2580] [,2581]
   [1,]       0       1       1       0       0       1       0       0       1
   [2,]       0       0       1       1       1       0       0       0       0
   [3,]       0       0       1       0       1       1       0       0       0
   [4,]       0       1       1       0       1       0       0       0       0
   [5,]       0       0       0       1       0       1       0       1       0
   [6,]       1       0       0       0       0       1       1       0       0
   [7,]       1       0       0       1       0       1       0       0       0
   [8,]       0       0       0       1       0       1       0       1       0
   [9,]       0       0       1       1       0       0       0       0       0
  [10,]       0       0       1       0       0       0       1       1       0
        [,2582] [,2583] [,2584] [,2585] [,2586] [,2587] [,2588] [,2589] [,2590]
   [1,]       0       0       0       0       0       1       0       0       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       1
   [4,]       0       0       1       0       0       0       0       1       0
   [5,]       0       0       0       1       0       0       0       0       1
   [6,]       1       0       1       1       0       1       0       0       0
   [7,]       0       0       1       0       0       0       1       1       1
   [8,]       0       0       0       0       1       1       0       1       0
   [9,]       0       0       0       0       0       1       1       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,2591] [,2592] [,2593] [,2594] [,2595] [,2596] [,2597] [,2598] [,2599]
   [1,]       1       0       1       1       0       1       0       0       0
   [2,]       0       0       0       1       1       1       1       0       0
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       1       1       0       0       0
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       1       0       1       1       1       0       0       1       0
   [7,]       0       0       1       0       0       0       0       0       1
   [8,]       0       0       0       1       0       0       0       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       1       0       0       0       0       0       0       1       0
        [,2600] [,2601] [,2602] [,2603] [,2604] [,2605] [,2606] [,2607] [,2608]
   [1,]       1       0       1       0       0       0       0       0       0
   [2,]       1       0       1       0       0       0       0       1       1
   [3,]       0       1       0       0       0       0       1       0       0
   [4,]       0       1       0       1       0       0       0       0       1
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       1       0       0       0       1       0       0       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       1       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,2609] [,2610] [,2611] [,2612] [,2613] [,2614] [,2615] [,2616] [,2617]
   [1,]       0       1       0       0       0       0       1       1       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       1       0       0       1       0       0       0       0
   [5,]       1       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       1       0       0       0       1       0       0       0
   [8,]       1       1       1       1       0       0       0       1       0
   [9,]       1       0       0       0       0       0       0       0       1
  [10,]       0       0       0       0       0       1       0       0       0
        [,2618] [,2619] [,2620] [,2621] [,2622] [,2623] [,2624] [,2625] [,2626]
   [1,]       0       1       1       0       0       0       0       1       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       1       1       1       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       0       1       1       0
   [6,]       1       0       0       1       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       1       0       0       1       1       0       0       0
  [10,]       0       1       0       0       1       0       0       0       0
        [,2627] [,2628] [,2629] [,2630] [,2631] [,2632] [,2633] [,2634] [,2635]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       1       0       1       0       0       1       0       0
   [3,]       1       1       0       0       0       1       0       1       1
   [4,]       1       0       0       0       0       1       0       0       0
   [5,]       0       1       1       0       1       0       0       0       0
   [6,]       0       1       0       1       0       0       0       0       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       0       0       1       0       0       0       1       0
   [9,]       0       0       0       1       0       0       1       0       0
  [10,]       1       0       1       1       0       0       0       1       1
        [,2636] [,2637] [,2638] [,2639] [,2640] [,2641] [,2642] [,2643] [,2644]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       1       1       0       1       1       0       1
   [6,]       1       0       0       0       1       1       1       0       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,2645] [,2646] [,2647] [,2648] [,2649] [,2650] [,2651] [,2652] [,2653]
   [1,]       0       1       1       0       0       0       0       1       0
   [2,]       0       1       0       1       0       0       0       0       1
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       1       0       0       1       0       0
   [6,]       0       0       0       1       1       0       0       0       1
   [7,]       0       0       0       1       0       0       1       1       1
   [8,]       0       0       1       0       0       0       1       0       0
   [9,]       1       0       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,2654] [,2655] [,2656] [,2657] [,2658] [,2659] [,2660] [,2661] [,2662]
   [1,]       0       0       0       0       1       1       0       1       1
   [2,]       1       0       1       1       0       0       0       1       0
   [3,]       0       1       1       0       0       0       1       0       1
   [4,]       1       1       0       0       0       0       1       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       1       0       0       1       0       0
   [7,]       0       1       1       0       1       0       0       0       1
   [8,]       1       0       0       0       0       1       0       0       0
   [9,]       0       0       1       0       0       1       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,2663] [,2664] [,2665] [,2666] [,2667] [,2668] [,2669] [,2670] [,2671]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       1       0       1       1       0       0       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       1       0       1
   [8,]       0       1       0       1       0       1       1       1       0
   [9,]       0       0       1       0       0       1       0       0       0
  [10,]       0       1       1       0       0       1       0       1       0
        [,2672] [,2673] [,2674] [,2675] [,2676] [,2677] [,2678] [,2679] [,2680]
   [1,]       0       0       1       0       1       1       1       0       0
   [2,]       0       0       0       1       0       0       1       0       0
   [3,]       1       0       1       0       0       0       0       0       0
   [4,]       0       1       0       1       1       0       0       1       0
   [5,]       0       0       0       0       0       1       1       0       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       0       1       0       0       0       0       0       1
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       1       0       0       1       0       1       1
        [,2681] [,2682] [,2683] [,2684] [,2685] [,2686] [,2687] [,2688] [,2689]
   [1,]       1       0       0       1       1       0       0       1       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       1       0       0       1       1       0       1       1
   [4,]       0       0       1       1       1       0       0       0       1
   [5,]       0       1       0       1       1       0       1       0       0
   [6,]       0       1       1       1       0       1       0       0       0
   [7,]       0       1       0       1       0       0       1       0       1
   [8,]       0       0       1       0       0       1       0       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       1       1       1       0       0       0       1
        [,2690] [,2691] [,2692] [,2693] [,2694] [,2695] [,2696] [,2697] [,2698]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       0       1       0       0       0       1       0       0
   [3,]       0       0       1       0       0       1       1       0       1
   [4,]       0       1       1       0       1       1       1       0       1
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       1       0       0       0       0       0       1       0
   [7,]       1       0       0       1       1       1       0       0       0
   [8,]       0       0       1       1       0       0       0       1       1
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       1       1       1       0       0       1       0       1       1
        [,2699] [,2700] [,2701] [,2702] [,2703] [,2704] [,2705] [,2706] [,2707]
   [1,]       1       0       1       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       0       1       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       1       1       0       0       0       0       0       0       0
   [6,]       1       0       1       0       0       0       0       0       1
   [7,]       0       0       0       0       1       1       1       0       0
   [8,]       0       0       0       1       0       1       0       1       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,2708] [,2709] [,2710] [,2711] [,2712] [,2713] [,2714] [,2715] [,2716]
   [1,]       1       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       1       0       1
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       1       0       0       1       1       0       1       1       0
   [7,]       0       0       1       1       0       0       1       0       0
   [8,]       0       1       0       0       1       0       0       1       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,2717] [,2718] [,2719] [,2720] [,2721] [,2722] [,2723] [,2724] [,2725]
   [1,]       1       0       1       1       1       0       0       1       0
   [2,]       0       0       1       0       0       1       0       0       0
   [3,]       1       0       0       0       0       1       0       0       0
   [4,]       0       0       1       0       0       0       0       0       1
   [5,]       0       1       0       0       1       1       1       1       0
   [6,]       0       0       0       0       1       0       0       0       1
   [7,]       0       1       0       1       1       1       1       0       1
   [8,]       1       0       1       1       0       1       0       1       0
   [9,]       1       1       0       1       0       1       0       1       1
  [10,]       0       0       0       1       0       0       1       0       0
        [,2726] [,2727] [,2728] [,2729] [,2730] [,2731] [,2732] [,2733] [,2734]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       1       0       0       0       0       0       0       0       1
   [3,]       0       0       1       1       1       1       0       0       0
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       0       0       1       1       0       1       0       1
   [6,]       0       1       0       1       0       0       0       0       1
   [7,]       0       1       1       1       0       0       0       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       1       0       0       1       0       0       1       0       0
        [,2735] [,2736] [,2737] [,2738] [,2739] [,2740] [,2741] [,2742] [,2743]
   [1,]       0       1       1       1       0       1       1       0       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       1       0       1       1
   [4,]       0       1       0       0       0       1       0       1       0
   [5,]       1       0       1       0       0       0       0       0       0
   [6,]       0       1       0       1       0       0       0       0       0
   [7,]       1       0       0       0       1       0       0       1       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       1       0       0       0       0       1       0       0       0
        [,2744] [,2745] [,2746] [,2747] [,2748] [,2749] [,2750] [,2751] [,2752]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       0       1       0       0       0       0       1       1
   [4,]       0       0       0       1       0       1       1       1       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       0       0       1       0       0       1       1       0
   [7,]       1       1       0       0       0       0       1       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       1       0       1       0       0       0       0       0
  [10,]       1       0       0       1       0       1       0       1       1
        [,2753] [,2754] [,2755] [,2756] [,2757] [,2758] [,2759] [,2760] [,2761]
   [1,]       0       0       1       0       0       0       1       0       0
   [2,]       1       1       1       0       0       0       0       1       1
   [3,]       0       1       1       0       1       0       0       0       1
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       0       0       0       1       0       0       1       0       1
   [6,]       1       1       0       0       0       0       1       0       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       0       0       0       0       1       1       1       0
   [9,]       0       1       0       1       0       0       1       1       0
  [10,]       0       0       1       0       1       0       0       0       0
        [,2762] [,2763] [,2764] [,2765] [,2766] [,2767] [,2768] [,2769] [,2770]
   [1,]       1       1       0       0       0       0       0       0       0
   [2,]       0       0       0       1       0       1       1       0       1
   [3,]       0       0       0       0       1       0       0       1       0
   [4,]       0       1       0       1       0       0       0       1       0
   [5,]       0       1       0       0       0       0       0       0       1
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       1       1       0
   [8,]       0       0       0       0       0       1       0       1       0
   [9,]       0       0       0       0       0       1       0       0       1
  [10,]       0       0       1       0       0       0       0       0       0
        [,2771] [,2772] [,2773] [,2774] [,2775] [,2776] [,2777] [,2778] [,2779]
   [1,]       1       0       0       1       0       0       0       0       0
   [2,]       0       0       1       0       0       0       1       0       0
   [3,]       0       1       0       1       0       0       1       0       0
   [4,]       1       0       0       1       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       1       1       0       0       0       0       0       0
   [7,]       1       1       0       0       1       0       1       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       1       0       1       0       1       0       1       0
  [10,]       1       0       0       0       0       0       0       0       0
        [,2780] [,2781] [,2782] [,2783] [,2784] [,2785] [,2786] [,2787] [,2788]
   [1,]       1       0       1       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       1       1       0       1       0       1       1       1
   [4,]       0       0       1       1       0       0       1       0       0
   [5,]       0       1       0       0       0       0       1       1       1
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       0       0       1       1       0       0       1       0
   [8,]       0       0       0       0       1       1       0       0       0
   [9,]       1       0       0       0       0       1       1       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,2789] [,2790] [,2791] [,2792] [,2793] [,2794] [,2795] [,2796] [,2797]
   [1,]       0       0       0       0       0       1       1       0       1
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       1       1       1       0       1
   [6,]       0       0       1       0       0       0       1       1       0
   [7,]       1       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       1       1       0       0       1       0       0       0
  [10,]       0       0       0       0       0       1       0       0       1
        [,2798] [,2799] [,2800] [,2801] [,2802] [,2803] [,2804] [,2805] [,2806]
   [1,]       0       0       1       1       0       0       0       0       0
   [2,]       1       1       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       1       1       0       0       0       0       0
   [7,]       1       0       0       1       0       0       0       1       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       0       0       0       0       1       1       0
        [,2807] [,2808] [,2809] [,2810] [,2811] [,2812] [,2813] [,2814] [,2815]
   [1,]       0       0       1       1       0       0       0       1       0
   [2,]       0       0       1       0       1       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       1       1       0       0       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       0       0       1       0       0       1       0
   [9,]       1       1       0       1       0       0       0       0       1
  [10,]       0       0       0       0       0       0       1       0       1
        [,2816] [,2817] [,2818] [,2819] [,2820] [,2821] [,2822] [,2823] [,2824]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       1       1       0       0       1       1       0       0
   [3,]       0       0       0       1       0       0       0       0       1
   [4,]       0       0       0       1       0       1       0       0       0
   [5,]       1       1       1       0       1       0       1       0       0
   [6,]       0       0       0       1       0       0       0       1       1
   [7,]       0       0       1       1       0       0       0       1       1
   [8,]       1       0       0       0       1       1       1       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,2825] [,2826] [,2827] [,2828] [,2829] [,2830] [,2831] [,2832] [,2833]
   [1,]       0       0       0       0       0       0       1       1       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       1       0       0       1       0       0       1       1
   [4,]       0       0       0       0       0       0       0       1       1
   [5,]       0       0       1       1       0       0       1       0       1
   [6,]       0       0       0       0       1       0       1       0       0
   [7,]       0       0       1       0       0       1       0       0       0
   [8,]       0       0       0       0       0       1       1       1       0
   [9,]       0       0       1       1       1       0       1       1       1
  [10,]       0       0       0       0       0       0       0       1       0
        [,2834] [,2835] [,2836] [,2837] [,2838] [,2839] [,2840] [,2841] [,2842]
   [1,]       0       0       0       0       1       1       1       1       0
   [2,]       0       0       0       1       1       0       0       1       1
   [3,]       0       1       0       0       1       0       1       0       0
   [4,]       1       1       1       1       0       1       0       0       0
   [5,]       1       0       0       0       0       0       1       0       0
   [6,]       0       0       0       0       1       0       1       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       0       1       0       0       0       1       0
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       1       1       0       0       0       1       0       1       1
        [,2843] [,2844] [,2845] [,2846] [,2847] [,2848] [,2849] [,2850] [,2851]
   [1,]       1       1       0       0       0       1       0       0       0
   [2,]       1       0       1       0       0       0       1       0       0
   [3,]       0       0       0       1       1       0       0       0       1
   [4,]       0       1       0       0       0       1       0       0       1
   [5,]       1       0       0       0       1       1       0       0       1
   [6,]       0       1       0       0       1       1       0       0       0
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       0       0       0       0       0       1       1       0       1
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       1       0       0       1       0       1       0       0
        [,2852] [,2853] [,2854] [,2855] [,2856] [,2857] [,2858] [,2859] [,2860]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       1       0       0       0       1       0       0       0
   [3,]       0       0       0       0       0       0       1       1       0
   [4,]       0       1       0       1       1       0       0       0       0
   [5,]       0       1       0       0       0       1       0       0       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       1       1       1       0       0       1       0       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       0       1       0       0       0       1       0
  [10,]       0       0       0       0       1       0       1       0       0
        [,2861] [,2862] [,2863] [,2864] [,2865] [,2866] [,2867] [,2868] [,2869]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       1       0       0       0       0       1       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       1       0       1       1       1       1       0       1       1
   [5,]       0       0       0       0       1       0       0       0       1
   [6,]       0       0       0       0       0       0       1       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       1       1       0       0       0       1       0
        [,2870] [,2871] [,2872] [,2873] [,2874] [,2875] [,2876] [,2877] [,2878]
   [1,]       1       1       0       0       1       0       0       0       0
   [2,]       0       1       0       1       0       1       0       1       0
   [3,]       0       0       0       0       0       1       0       0       1
   [4,]       0       1       0       0       0       1       1       0       0
   [5,]       0       0       1       0       0       0       0       0       1
   [6,]       0       0       1       0       1       0       1       0       1
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       1       0       0       0       0       0       1       1       1
   [9,]       1       0       1       0       0       0       0       1       1
  [10,]       0       0       0       1       0       0       0       1       1
        [,2879] [,2880] [,2881] [,2882] [,2883] [,2884] [,2885] [,2886] [,2887]
   [1,]       1       1       0       0       0       0       0       1       0
   [2,]       0       1       1       0       0       0       0       0       1
   [3,]       0       0       1       0       0       0       1       1       0
   [4,]       0       0       0       0       0       1       0       1       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       1       0       1       0       0       0       0
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       1       0       1       1       0       0       0
        [,2888] [,2889] [,2890] [,2891] [,2892] [,2893] [,2894] [,2895] [,2896]
   [1,]       0       1       0       0       1       0       0       1       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       1       0       0       0       0       0       1       0
   [5,]       0       0       0       0       0       1       0       1       0
   [6,]       0       1       0       1       0       0       0       0       1
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       1       1       0       0       0       0       1       0       0
   [9,]       0       0       0       0       1       0       0       0       1
  [10,]       0       1       0       0       1       1       1       0       0
        [,2897] [,2898] [,2899] [,2900] [,2901] [,2902] [,2903] [,2904] [,2905]
   [1,]       0       0       1       1       1       0       1       0       1
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       1       1       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       0       0       1       1       1       1       1       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       1       0       1       0       0       0       1       1       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       0       0       0       0       1
  [10,]       1       0       0       1       0       0       0       1       0
        [,2906] [,2907] [,2908] [,2909] [,2910] [,2911] [,2912] [,2913] [,2914]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       0       1       1       0       0       1       0       1       1
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       1       1       0       1
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       1       0       1       0       1       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       1       0       1       0       0       0
        [,2915] [,2916] [,2917] [,2918] [,2919] [,2920] [,2921] [,2922] [,2923]
   [1,]       1       0       1       0       0       0       1       0       0
   [2,]       0       1       0       0       0       0       0       0       1
   [3,]       0       1       0       0       0       0       0       1       0
   [4,]       0       0       1       0       0       1       0       0       0
   [5,]       0       0       1       1       0       1       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       0       0       0       1       0
   [8,]       1       0       0       1       0       0       0       0       1
   [9,]       0       0       1       0       0       1       0       1       1
  [10,]       0       1       0       1       1       0       0       0       0
        [,2924] [,2925] [,2926] [,2927] [,2928] [,2929] [,2930] [,2931] [,2932]
   [1,]       1       1       1       0       0       0       0       0       0
   [2,]       0       0       0       0       1       1       0       0       0
   [3,]       1       0       0       0       1       0       0       0       1
   [4,]       1       0       0       0       0       0       1       0       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       1       1       0       0       0       0       0       0
   [7,]       0       1       1       0       0       1       0       0       0
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       0       0       1       1       0       0       0
        [,2933] [,2934] [,2935] [,2936] [,2937] [,2938] [,2939] [,2940] [,2941]
   [1,]       0       1       1       1       0       0       0       1       0
   [2,]       0       0       0       0       1       1       0       0       0
   [3,]       0       1       0       1       1       1       1       0       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       1       0       1       0       0       0       1       1
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       1       0       0       1       1       0       1       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       1       0       0       0       0       0       0       0       1
  [10,]       0       0       0       0       0       0       0       0       1
        [,2942] [,2943] [,2944] [,2945] [,2946] [,2947] [,2948] [,2949] [,2950]
   [1,]       0       1       0       0       0       0       0       0       1
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       1       0       0       0       0       1       0       1
   [5,]       0       0       0       1       1       0       1       1       0
   [6,]       1       0       0       1       0       1       0       0       1
   [7,]       1       1       0       0       0       1       0       0       0
   [8,]       0       1       0       1       0       1       0       1       1
   [9,]       0       1       0       0       1       0       0       0       1
  [10,]       1       0       0       0       1       0       0       0       0
        [,2951] [,2952] [,2953] [,2954] [,2955] [,2956] [,2957] [,2958] [,2959]
   [1,]       1       1       0       0       0       1       0       0       1
   [2,]       0       0       1       1       0       0       0       0       0
   [3,]       0       0       1       1       1       0       0       1       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       1       0       0       0       1       0       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       1       0       0       1       1       0       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       1       0       0       1       0       0       0       0
        [,2960] [,2961] [,2962] [,2963] [,2964] [,2965] [,2966] [,2967] [,2968]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       1       1       0       0       0       0       0       0
   [3,]       0       0       1       1       0       0       1       1       0
   [4,]       0       0       1       1       1       1       0       0       0
   [5,]       0       0       0       1       0       1       0       0       1
   [6,]       0       1       0       0       1       1       0       0       0
   [7,]       0       1       0       0       0       1       0       0       0
   [8,]       1       0       0       0       0       0       0       0       1
   [9,]       0       1       0       0       0       1       1       0       0
  [10,]       0       1       0       0       0       0       0       0       1
        [,2969] [,2970] [,2971] [,2972] [,2973] [,2974] [,2975] [,2976] [,2977]
   [1,]       1       0       0       1       0       0       0       0       1
   [2,]       0       0       0       0       0       0       1       1       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       1       0       0       0       1       1       1       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       1       1       0       1       0       0       1       0       1
   [7,]       0       0       0       0       0       0       1       0       1
   [8,]       0       0       1       0       0       0       0       1       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,2978] [,2979] [,2980] [,2981] [,2982] [,2983] [,2984] [,2985] [,2986]
   [1,]       1       0       0       0       0       1       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       0       1       0       0
   [6,]       0       0       1       1       0       0       1       0       0
   [7,]       0       0       0       0       0       1       1       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       0       0       0       0       0       1       0       1
  [10,]       0       1       0       0       0       0       0       0       0
        [,2987] [,2988] [,2989] [,2990] [,2991] [,2992] [,2993] [,2994] [,2995]
   [1,]       0       0       0       0       1       1       0       0       0
   [2,]       0       0       0       0       1       1       0       0       1
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       1       0
   [5,]       0       0       0       1       1       1       0       0       1
   [6,]       0       1       0       1       0       0       0       0       1
   [7,]       0       0       0       0       1       0       0       0       1
   [8,]       0       1       0       0       1       0       0       0       1
   [9,]       0       0       0       1       0       0       0       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,2996] [,2997] [,2998] [,2999] [,3000] [,3001] [,3002] [,3003] [,3004]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       1       1       1       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       1       1       0       0       0
   [5,]       0       0       0       0       0       1       0       1       0
   [6,]       0       0       1       0       0       0       0       0       1
   [7,]       0       0       1       1       0       0       0       1       1
   [8,]       0       1       0       1       0       0       0       0       0
   [9,]       0       1       0       0       0       0       1       0       0
  [10,]       1       0       0       0       0       0       0       1       1
        [,3005] [,3006] [,3007] [,3008] [,3009] [,3010] [,3011] [,3012] [,3013]
   [1,]       0       1       1       0       0       0       0       0       0
   [2,]       1       0       0       1       1       0       0       0       1
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       1       0       0       0       0       0       0       1       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       1       0       0       1       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       1       0       1       1       0
  [10,]       1       0       0       0       1       0       0       0       1
        [,3014] [,3015] [,3016] [,3017] [,3018] [,3019] [,3020] [,3021] [,3022]
   [1,]       1       0       1       0       0       0       0       0       0
   [2,]       0       0       0       0       1       0       0       0       1
   [3,]       0       0       0       1       0       1       0       0       0
   [4,]       0       0       1       0       1       0       0       0       0
   [5,]       1       0       0       0       1       0       1       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       0       0       0       1       1
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       1       0       0       0       1       0       0
        [,3023] [,3024] [,3025] [,3026] [,3027] [,3028] [,3029] [,3030] [,3031]
   [1,]       0       0       0       1       0       1       0       0       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       0       0       0       0       0       1       0       1
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       0       0       0       0       1       1       0       0       0
   [6,]       1       0       1       1       1       0       0       0       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       1       0       1       0       0       0       0       1       0
  [10,]       0       0       0       0       0       0       1       1       0
        [,3032] [,3033] [,3034] [,3035] [,3036] [,3037] [,3038] [,3039] [,3040]
   [1,]       0       0       1       0       0       0       0       1       1
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       0       1       0       0       1       0       0       0       0
   [4,]       0       0       0       0       1       1       0       0       0
   [5,]       1       1       0       0       1       0       0       1       0
   [6,]       1       0       1       0       0       1       0       0       0
   [7,]       0       0       1       0       1       1       0       0       0
   [8,]       0       0       0       0       1       1       0       0       0
   [9,]       1       1       1       0       0       0       0       0       0
  [10,]       1       0       0       0       0       0       1       0       0
        [,3041] [,3042] [,3043] [,3044] [,3045] [,3046] [,3047] [,3048] [,3049]
   [1,]       0       1       0       1       1       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       1       0       1       0       0       0
   [4,]       0       1       1       0       1       1       0       0       0
   [5,]       0       0       0       1       0       1       0       0       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       1       1       0       0       0       0       0       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       1       1       0       1       0       0       0
        [,3050] [,3051] [,3052] [,3053] [,3054] [,3055] [,3056] [,3057] [,3058]
   [1,]       1       1       0       0       0       1       0       0       0
   [2,]       1       0       0       0       1       0       1       0       0
   [3,]       0       1       0       0       0       0       0       0       1
   [4,]       0       0       0       1       1       0       0       1       0
   [5,]       0       0       0       1       0       0       0       0       1
   [6,]       0       0       1       0       0       1       0       1       0
   [7,]       0       0       1       0       0       0       0       1       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       0       0       1       1       0       0       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,3059] [,3060] [,3061] [,3062] [,3063] [,3064] [,3065] [,3066] [,3067]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       1       0       0       0       1       0       0       0
   [3,]       1       0       0       0       1       0       0       1       0
   [4,]       1       1       0       1       0       0       1       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       1       0       0       0       0       0       1       0
  [10,]       1       0       0       0       1       0       0       0       0
        [,3068] [,3069] [,3070] [,3071] [,3072] [,3073] [,3074] [,3075] [,3076]
   [1,]       0       1       0       0       0       0       0       1       0
   [2,]       0       0       1       0       0       0       0       1       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       0       0       1       0       0       1       0       0
   [5,]       0       1       0       1       0       1       0       1       0
   [6,]       1       1       0       0       0       0       0       1       1
   [7,]       0       0       0       0       0       0       1       1       0
   [8,]       0       0       0       0       1       0       1       0       0
   [9,]       0       0       0       0       0       1       0       0       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,3077] [,3078] [,3079] [,3080] [,3081] [,3082] [,3083] [,3084] [,3085]
   [1,]       0       0       1       0       1       0       0       0       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       0       1       0       1       0       0       0       0
   [4,]       1       1       0       1       0       0       0       0       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       0       0       0       1       1       0       0       0
   [7,]       1       1       0       1       0       0       0       0       0
   [8,]       0       0       1       0       0       0       0       0       1
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       0       0       0       0       1       0       1       0
        [,3086] [,3087] [,3088] [,3089] [,3090] [,3091] [,3092] [,3093] [,3094]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       1       1       0       1       1       0       0       1
   [3,]       0       0       1       0       1       1       1       1       0
   [4,]       0       0       0       0       1       0       1       0       0
   [5,]       0       0       1       0       1       0       1       1       1
   [6,]       0       0       1       0       1       0       0       0       0
   [7,]       1       1       0       0       1       1       1       1       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,3095] [,3096] [,3097] [,3098] [,3099] [,3100] [,3101] [,3102] [,3103]
   [1,]       0       1       0       0       0       0       1       0       0
   [2,]       0       0       1       1       0       0       0       0       1
   [3,]       0       0       0       0       1       0       1       0       0
   [4,]       0       0       0       1       0       0       0       1       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       0       0       0       1       0       1       1       1
   [7,]       0       0       1       0       0       0       0       1       0
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       0       0       1       0       0       0       1       1       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,3104] [,3105] [,3106] [,3107] [,3108] [,3109] [,3110] [,3111] [,3112]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       0       1       0       1       1       0       0
   [3,]       0       0       1       0       1       0       0       0       1
   [4,]       0       0       1       0       0       0       0       0       1
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       1       0       1       1       0       0       0       0
        [,3113] [,3114] [,3115] [,3116] [,3117] [,3118] [,3119] [,3120] [,3121]
   [1,]       1       0       1       0       0       0       1       0       0
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       0       0       0       0       1       0       1       0       0
   [4,]       0       0       0       0       0       1       0       1       0
   [5,]       0       0       0       0       1       0       1       0       1
   [6,]       0       0       0       0       0       0       1       1       0
   [7,]       1       0       0       0       1       0       0       0       0
   [8,]       0       0       0       1       1       0       0       0       1
   [9,]       0       0       0       1       0       0       0       1       1
  [10,]       0       0       0       1       0       0       0       0       0
        [,3122] [,3123] [,3124] [,3125] [,3126] [,3127] [,3128] [,3129] [,3130]
   [1,]       1       0       0       0       1       0       0       0       0
   [2,]       1       0       0       0       0       1       1       0       1
   [3,]       0       0       0       1       1       0       0       0       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       1       0       0       0       0       1       0       0
   [6,]       1       1       0       0       1       0       0       0       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       0       1       0       0       0       0       1
   [9,]       0       1       0       1       0       0       0       0       0
  [10,]       0       1       1       0       0       1       0       0       1
        [,3131] [,3132] [,3133] [,3134] [,3135] [,3136] [,3137] [,3138] [,3139]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       0       1       0       0       1       0       0       1
   [3,]       0       1       0       1       0       0       0       0       1
   [4,]       0       1       0       0       0       1       1       1       1
   [5,]       0       0       1       0       1       0       0       0       0
   [6,]       0       0       0       0       1       1       1       0       1
   [7,]       1       1       0       0       1       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       1       0       1       1       0       0
  [10,]       0       0       0       1       0       1       0       0       0
        [,3140] [,3141] [,3142] [,3143] [,3144] [,3145] [,3146] [,3147] [,3148]
   [1,]       0       0       1       1       1       0       0       1       1
   [2,]       1       0       1       1       0       0       1       1       0
   [3,]       0       0       0       1       0       0       1       1       0
   [4,]       0       0       0       0       0       1       1       0       0
   [5,]       0       0       1       0       0       1       1       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       1       1       1       0       1       0
   [8,]       1       0       0       1       0       1       0       0       0
   [9,]       0       0       0       0       0       0       1       1       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,3149] [,3150] [,3151] [,3152] [,3153] [,3154] [,3155] [,3156] [,3157]
   [1,]       0       0       0       0       1       0       1       0       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       1       0       1       0       0       1       0       0       0
   [5,]       0       1       1       1       0       0       1       0       0
   [6,]       0       0       0       0       1       1       0       1       0
   [7,]       0       0       1       1       0       0       0       1       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       0       0       1       1       0       0       0       0
  [10,]       1       0       0       0       0       0       0       1       1
        [,3158] [,3159] [,3160] [,3161] [,3162] [,3163] [,3164] [,3165] [,3166]
   [1,]       0       0       0       1       0       0       1       1       1
   [2,]       0       0       0       0       0       0       1       1       0
   [3,]       1       1       0       0       0       0       1       1       0
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       0       0       1       1       0       0       0       0       0
   [6,]       0       1       0       0       0       0       1       1       1
   [7,]       0       0       0       0       0       0       1       0       1
   [8,]       1       0       0       0       0       0       1       1       0
   [9,]       1       0       0       1       0       1       0       0       1
  [10,]       1       1       0       1       0       0       0       0       0
        [,3167] [,3168] [,3169] [,3170] [,3171] [,3172] [,3173] [,3174] [,3175]
   [1,]       0       1       0       1       0       1       0       0       0
   [2,]       1       0       0       1       0       0       1       0       0
   [3,]       0       0       0       0       1       1       0       1       0
   [4,]       0       1       0       0       0       0       1       1       0
   [5,]       1       0       0       0       0       1       1       0       0
   [6,]       1       0       1       1       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       1       1
   [9,]       0       1       0       0       0       1       0       0       0
  [10,]       0       0       1       1       0       0       0       1       0
        [,3176] [,3177] [,3178] [,3179] [,3180] [,3181] [,3182] [,3183] [,3184]
   [1,]       0       1       1       0       0       0       0       0       0
   [2,]       0       1       1       0       0       1       0       0       1
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       1       0       0       0       0       0       0       0       1
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       1       0       1       0       0       0       1       0
   [8,]       0       1       1       1       1       1       0       1       1
   [9,]       0       0       0       0       1       0       0       0       1
  [10,]       0       0       0       0       1       0       0       0       0
        [,3185] [,3186] [,3187] [,3188] [,3189] [,3190] [,3191] [,3192] [,3193]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       0       0       1       0       1       0       0       0
   [3,]       1       0       1       1       1       1       0       0       0
   [4,]       1       0       1       0       0       1       1       1       0
   [5,]       0       0       0       1       1       1       1       0       0
   [6,]       1       0       0       1       0       0       0       0       0
   [7,]       1       1       0       0       0       0       0       0       0
   [8,]       0       0       1       0       1       0       1       0       0
   [9,]       0       0       0       0       0       0       1       1       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,3194] [,3195] [,3196] [,3197] [,3198] [,3199] [,3200] [,3201] [,3202]
   [1,]       0       0       1       0       0       0       0       0       1
   [2,]       0       1       1       1       0       1       0       0       1
   [3,]       0       0       0       0       1       1       0       1       1
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       1       1       0
   [6,]       0       0       0       0       0       1       1       1       0
   [7,]       1       0       0       0       0       1       0       1       0
   [8,]       0       0       1       1       0       1       0       1       1
   [9,]       0       0       0       0       0       1       1       1       0
  [10,]       1       0       1       0       0       0       0       0       0
        [,3203] [,3204] [,3205] [,3206] [,3207] [,3208] [,3209] [,3210] [,3211]
   [1,]       1       0       0       1       0       0       0       0       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       0       0       0       1       0       1
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       1       1       0       0       0       0       0       0
   [6,]       0       0       0       0       1       0       0       1       1
   [7,]       1       0       0       0       0       1       0       1       0
   [8,]       0       0       0       1       0       0       0       1       0
   [9,]       1       0       0       1       0       0       0       1       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,3212] [,3213] [,3214] [,3215] [,3216] [,3217] [,3218] [,3219] [,3220]
   [1,]       0       0       0       1       0       1       1       1       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       1       0       0       0       1       0       0       0
   [4,]       0       1       0       0       0       0       0       1       0
   [5,]       0       1       0       1       1       0       0       0       1
   [6,]       0       0       0       0       0       1       1       0       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       0       0       0       1       0       1       0       0
  [10,]       1       0       0       0       0       1       1       0       0
        [,3221] [,3222] [,3223] [,3224] [,3225] [,3226] [,3227] [,3228] [,3229]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       1       1       0       0       1       0       1       1       1
   [3,]       1       1       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       1       0       1       0       0       0       0       1       0
   [9,]       0       0       0       0       1       1       1       1       0
  [10,]       0       1       0       0       0       1       1       0       0
        [,3230] [,3231] [,3232] [,3233] [,3234] [,3235] [,3236] [,3237] [,3238]
   [1,]       0       0       0       0       1       0       1       0       0
   [2,]       1       0       0       1       1       0       1       1       1
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       0       1       0       1       0       1       0       0       0
   [6,]       0       0       0       1       0       1       0       1       1
   [7,]       1       0       0       1       1       1       0       0       1
   [8,]       1       0       1       0       1       1       0       1       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       1       0       1       1       0       0       0
        [,3239] [,3240] [,3241] [,3242] [,3243] [,3244] [,3245] [,3246] [,3247]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       1       0       0
   [3,]       0       1       0       0       0       1       0       0       1
   [4,]       1       0       0       1       0       0       0       0       1
   [5,]       0       1       0       0       0       1       0       0       0
   [6,]       0       0       1       1       0       0       0       1       1
   [7,]       0       1       1       0       0       1       1       1       0
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       1       1       1       1       0       1       1       0       0
  [10,]       0       1       0       0       0       0       1       0       0
        [,3248] [,3249] [,3250] [,3251] [,3252] [,3253] [,3254] [,3255] [,3256]
   [1,]       0       0       0       0       0       0       0       1       1
   [2,]       1       0       0       0       1       0       0       0       1
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       1       0       0       0       0       1       0
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       1       0       1       0       1       1       0       1       1
   [7,]       0       0       0       0       1       0       1       0       1
   [8,]       0       0       0       1       0       0       0       0       1
   [9,]       0       1       0       0       0       0       0       1       0
  [10,]       0       0       0       1       0       0       1       0       1
        [,3257] [,3258] [,3259] [,3260] [,3261] [,3262] [,3263] [,3264] [,3265]
   [1,]       1       1       0       0       0       0       0       0       0
   [2,]       0       0       0       1       1       1       0       0       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       1       0       1       0       0       0       0
   [6,]       0       0       0       1       0       0       0       1       0
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       1       0       0       1       0       0
  [10,]       0       0       1       0       0       1       0       0       1
        [,3266] [,3267] [,3268] [,3269] [,3270] [,3271] [,3272] [,3273] [,3274]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       1       0       0       0       1       0       0       0
   [3,]       1       0       0       0       0       1       1       0       0
   [4,]       0       0       0       0       0       1       1       0       1
   [5,]       0       1       0       0       0       1       1       1       0
   [6,]       0       1       1       0       0       0       0       0       0
   [7,]       0       0       1       0       0       1       0       1       1
   [8,]       1       0       0       1       0       1       0       0       1
   [9,]       0       0       1       0       0       1       0       0       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,3275] [,3276] [,3277] [,3278] [,3279] [,3280] [,3281] [,3282] [,3283]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       0       0       1       0       1       1       0       0       0
   [5,]       0       1       1       1       1       0       0       0       0
   [6,]       0       0       0       0       0       1       0       1       0
   [7,]       1       1       0       0       1       1       1       0       0
   [8,]       1       1       0       1       0       0       0       0       0
   [9,]       1       0       0       1       0       1       0       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,3284] [,3285] [,3286] [,3287] [,3288] [,3289] [,3290] [,3291] [,3292]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       1       1       1       0       1
   [4,]       1       1       1       0       1       0       0       0       1
   [5,]       1       0       0       0       0       0       1       0       0
   [6,]       0       1       0       1       1       1       0       0       1
   [7,]       0       0       0       0       1       0       1       0       0
   [8,]       0       1       0       0       0       0       0       0       1
   [9,]       1       1       0       0       0       1       0       0       1
  [10,]       0       0       0       0       0       0       1       0       0
        [,3293] [,3294] [,3295] [,3296] [,3297] [,3298] [,3299] [,3300] [,3301]
   [1,]       0       0       1       0       0       0       0       0       1
   [2,]       1       0       0       0       0       1       0       0       0
   [3,]       0       0       1       1       0       1       1       0       0
   [4,]       0       1       0       0       1       1       0       1       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       0       0       1       0       0       0       1       0
   [7,]       1       0       0       1       1       0       1       0       0
   [8,]       0       0       0       1       0       1       0       1       0
   [9,]       0       0       0       0       0       0       1       1       0
  [10,]       0       0       1       1       0       0       0       0       0
        [,3302] [,3303] [,3304] [,3305] [,3306] [,3307] [,3308] [,3309] [,3310]
   [1,]       0       0       0       1       0       1       1       1       0
   [2,]       1       0       1       0       0       1       1       0       0
   [3,]       0       1       1       0       0       0       1       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       1       1       1       0       0       0       0       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       1       1       0       0       0
   [9,]       1       0       1       0       0       0       0       0       1
  [10,]       0       0       0       0       0       1       1       0       0
        [,3311] [,3312] [,3313] [,3314] [,3315] [,3316] [,3317] [,3318] [,3319]
   [1,]       0       0       1       0       1       0       1       1       1
   [2,]       1       0       0       1       0       0       0       1       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       0       0       0       1       1       1       0       0       0
   [5,]       1       1       0       1       0       1       0       0       0
   [6,]       1       0       1       0       0       0       0       1       0
   [7,]       1       0       1       0       1       0       0       0       1
   [8,]       0       1       1       0       0       0       1       0       0
   [9,]       1       1       0       0       0       0       1       0       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,3320] [,3321] [,3322] [,3323] [,3324] [,3325] [,3326] [,3327] [,3328]
   [1,]       0       0       0       1       1       0       0       0       0
   [2,]       1       1       0       0       0       1       0       0       0
   [3,]       0       0       0       0       0       1       0       0       1
   [4,]       0       0       0       0       0       1       0       1       0
   [5,]       0       1       1       1       1       0       0       1       0
   [6,]       1       1       1       0       1       0       0       0       0
   [7,]       0       0       1       0       0       1       0       1       1
   [8,]       0       0       1       0       1       0       0       0       0
   [9,]       1       0       1       1       1       0       0       0       0
  [10,]       0       0       0       0       0       0       0       1       1
        [,3329] [,3330] [,3331] [,3332] [,3333] [,3334] [,3335] [,3336] [,3337]
   [1,]       1       0       1       0       0       0       0       1       0
   [2,]       1       0       0       0       0       0       0       0       1
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       0       0       0       0       1       0       0       0
   [5,]       1       0       0       1       1       0       0       0       1
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       1       0       1       0       0       0       0
   [9,]       0       0       1       1       0       1       1       0       0
  [10,]       1       0       0       0       0       0       1       0       0
        [,3338] [,3339] [,3340] [,3341] [,3342] [,3343] [,3344] [,3345] [,3346]
   [1,]       0       1       0       0       0       0       1       0       1
   [2,]       1       0       0       0       1       0       0       0       0
   [3,]       0       1       0       0       0       1       0       0       0
   [4,]       1       0       0       0       1       0       0       0       1
   [5,]       0       1       1       1       0       1       0       0       1
   [6,]       0       0       1       0       1       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       1       0       1       0       0       0       1       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,3347] [,3348] [,3349] [,3350] [,3351] [,3352] [,3353] [,3354] [,3355]
   [1,]       0       1       1       0       0       0       0       0       0
   [2,]       1       0       0       1       0       1       1       0       0
   [3,]       1       1       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       1       1       0       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       0       0       0       0       0       1       0       1
   [7,]       0       0       0       1       1       0       1       0       0
   [8,]       0       0       0       0       1       1       0       0       0
   [9,]       0       0       0       1       0       1       0       0       0
  [10,]       1       0       0       0       1       0       0       0       0
        [,3356] [,3357] [,3358] [,3359] [,3360] [,3361] [,3362] [,3363] [,3364]
   [1,]       0       0       0       0       1       0       1       0       0
   [2,]       0       0       1       0       0       1       1       0       0
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       0       1       0       0       0       1       0       0       0
   [5,]       0       0       0       1       0       1       1       0       1
   [6,]       0       1       0       1       0       1       0       0       1
   [7,]       0       1       0       1       0       0       1       0       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       0       1       0       0       1       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,3365] [,3366] [,3367] [,3368] [,3369] [,3370] [,3371] [,3372] [,3373]
   [1,]       0       1       0       0       0       0       0       1       0
   [2,]       0       0       0       1       0       1       0       1       0
   [3,]       0       1       0       1       0       0       0       1       0
   [4,]       0       0       0       1       1       0       0       0       0
   [5,]       1       1       0       0       0       0       0       0       0
   [6,]       0       1       0       1       0       0       0       0       0
   [7,]       0       0       0       1       1       0       0       0       0
   [8,]       1       0       1       1       0       0       0       0       1
   [9,]       1       0       0       0       0       1       0       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,3374] [,3375] [,3376] [,3377] [,3378] [,3379] [,3380] [,3381] [,3382]
   [1,]       1       0       0       0       1       0       1       0       1
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       1       0       0       0       0       0       1       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       1       0       0       0       0       0       1       0       1
   [6,]       0       1       1       0       1       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       0       1       1       0       1       1       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,3383] [,3384] [,3385] [,3386] [,3387] [,3388] [,3389] [,3390] [,3391]
   [1,]       0       0       1       0       0       0       0       1       0
   [2,]       0       1       0       1       1       0       0       0       1
   [3,]       0       0       0       0       1       0       0       1       1
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       0       0       0       1       1       1       1       0
   [7,]       0       1       1       0       0       1       0       0       0
   [8,]       0       0       0       0       1       1       1       0       0
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       0       0       0       0       1       1       0       1       0
        [,3392] [,3393] [,3394] [,3395] [,3396] [,3397] [,3398] [,3399] [,3400]
   [1,]       1       1       0       0       1       0       0       1       0
   [2,]       0       0       1       0       0       1       0       1       1
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       0       1       0       0       1       0       0       0
   [6,]       0       0       0       1       0       0       0       1       0
   [7,]       1       0       1       1       0       0       0       0       0
   [8,]       0       1       1       0       1       1       0       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       0       0       1       0       0       0       1
        [,3401] [,3402] [,3403] [,3404] [,3405] [,3406] [,3407] [,3408] [,3409]
   [1,]       0       0       0       0       1       1       0       0       0
   [2,]       0       0       1       1       0       1       0       0       1
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       0       1       0       0       1       1       0       1       1
   [5,]       0       0       0       0       0       1       0       1       0
   [6,]       0       0       0       1       0       0       0       0       1
   [7,]       0       1       0       0       0       0       0       1       0
   [8,]       0       1       0       1       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,3410] [,3411] [,3412] [,3413] [,3414] [,3415] [,3416] [,3417] [,3418]
   [1,]       0       1       0       0       1       0       0       0       0
   [2,]       0       0       0       1       1       0       0       0       0
   [3,]       0       0       0       0       1       1       1       1       0
   [4,]       0       1       0       0       0       0       0       1       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       0       1       0       0       1       0       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       0       0       1       0       0       1       1       0
  [10,]       0       1       1       1       0       0       1       0       0
        [,3419] [,3420] [,3421] [,3422] [,3423] [,3424] [,3425] [,3426] [,3427]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       0       0       0       0       1       1       1       1       1
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       0       1       0       0       1       1       1       0
   [6,]       0       0       0       1       1       0       1       1       0
   [7,]       1       1       0       0       0       1       1       1       0
   [8,]       1       0       0       0       0       0       1       1       0
   [9,]       1       0       0       0       1       0       0       1       0
  [10,]       1       0       0       0       0       0       0       0       0
        [,3428] [,3429] [,3430] [,3431] [,3432] [,3433] [,3434] [,3435] [,3436]
   [1,]       0       1       1       1       0       0       1       1       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       1       0
   [5,]       0       1       0       0       0       0       0       0       0
   [6,]       0       0       1       1       0       0       0       0       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       1       0       1       1       0       0       0       0       1
        [,3437] [,3438] [,3439] [,3440] [,3441] [,3442] [,3443] [,3444] [,3445]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       1       0       0       1       0       0       1       0       0
   [5,]       0       0       1       0       1       1       0       1       0
   [6,]       0       0       0       0       1       0       1       1       0
   [7,]       0       1       0       0       0       1       0       0       0
   [8,]       0       0       1       0       1       1       0       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       1       1       0       0       0       0       0
        [,3446] [,3447] [,3448] [,3449] [,3450] [,3451] [,3452] [,3453] [,3454]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       1       1       0       0       0       0       0       0       1
   [3,]       0       1       1       0       0       0       0       1       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       0       0       1       0       0       0       1       0       1
   [6,]       0       0       1       0       0       0       0       1       1
   [7,]       0       0       0       0       0       0       0       1       1
   [8,]       0       1       1       1       0       0       0       0       1
   [9,]       1       0       0       1       0       0       1       0       0
  [10,]       0       0       0       0       0       1       1       1       0
        [,3455] [,3456] [,3457] [,3458] [,3459] [,3460] [,3461] [,3462] [,3463]
   [1,]       0       1       1       1       0       0       0       0       0
   [2,]       1       0       0       0       0       1       0       1       1
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       1       0       0       0       0       1       0       1
   [6,]       0       0       1       0       0       0       0       1       0
   [7,]       1       0       0       1       0       0       0       0       1
   [8,]       1       0       1       0       0       0       1       1       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       1       0       0       0       1       0
        [,3464] [,3465] [,3466] [,3467] [,3468] [,3469] [,3470] [,3471] [,3472]
   [1,]       1       0       0       0       0       0       1       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       1       0       0       0       1       1
   [4,]       0       0       1       1       0       1       0       0       0
   [5,]       1       1       0       0       0       0       0       0       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       0       0       0       0       1       0       1       0       0
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       0       0       1       0       1       0       1       0
        [,3473] [,3474] [,3475] [,3476] [,3477] [,3478] [,3479] [,3480] [,3481]
   [1,]       0       0       0       1       1       0       0       0       0
   [2,]       0       0       0       0       0       1       0       1       0
   [3,]       1       0       0       0       0       0       0       1       0
   [4,]       1       1       0       1       0       1       1       1       0
   [5,]       1       1       0       0       0       0       0       0       1
   [6,]       0       0       0       1       0       1       0       1       1
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       1       0       0       1       1       0       0       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,3482] [,3483] [,3484] [,3485] [,3486] [,3487] [,3488] [,3489] [,3490]
   [1,]       0       0       0       0       0       1       0       1       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       1       1       0       0       0       0       1
   [4,]       1       0       1       1       1       1       1       0       1
   [5,]       1       0       0       0       0       0       0       0       1
   [6,]       0       0       0       1       0       1       1       0       0
   [7,]       0       0       0       0       0       0       1       1       0
   [8,]       1       0       0       1       0       1       0       1       0
   [9,]       1       0       0       0       1       0       0       0       0
  [10,]       0       0       0       0       0       1       0       1       0
        [,3491] [,3492] [,3493] [,3494] [,3495] [,3496] [,3497] [,3498] [,3499]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       0       0       0       1       1       1       0       0
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       0       0       1       0       0       1       0       0       0
   [6,]       0       0       1       0       0       1       0       1       0
   [7,]       0       1       1       0       0       1       0       0       0
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       1       0       0       1       1       0       0       0       0
  [10,]       1       1       0       1       0       0       0       0       0
        [,3500] [,3501] [,3502] [,3503] [,3504] [,3505] [,3506] [,3507] [,3508]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       0       1       1       0       0       1       0       0
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       0       0       0       0       1       0       1       0
   [7,]       0       1       0       0       0       0       1       0       1
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       0       0       0       1       1       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,3509] [,3510] [,3511] [,3512] [,3513] [,3514] [,3515] [,3516] [,3517]
   [1,]       1       0       1       1       0       0       1       1       1
   [2,]       1       0       0       1       1       0       0       1       0
   [3,]       0       0       0       0       0       1       1       0       0
   [4,]       1       0       0       1       0       0       0       0       0
   [5,]       1       0       0       1       0       1       0       0       0
   [6,]       0       1       0       1       0       1       0       0       0
   [7,]       0       0       1       1       0       0       0       0       1
   [8,]       1       0       0       0       0       1       0       0       1
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,3518] [,3519] [,3520] [,3521] [,3522] [,3523] [,3524] [,3525] [,3526]
   [1,]       0       0       0       0       0       1       0       1       0
   [2,]       0       1       1       0       0       0       0       0       0
   [3,]       0       0       0       1       1       0       0       1       0
   [4,]       1       0       0       0       1       0       0       0       0
   [5,]       0       0       1       0       0       0       0       1       1
   [6,]       1       0       1       0       0       0       0       0       0
   [7,]       1       1       0       0       0       0       1       0       0
   [8,]       0       0       0       0       1       1       0       0       0
   [9,]       1       0       0       0       0       0       0       1       0
  [10,]       0       1       1       0       0       1       0       0       0
        [,3527] [,3528] [,3529] [,3530] [,3531] [,3532] [,3533] [,3534] [,3535]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       1       1       1       0       1       1       0       0
   [4,]       1       0       0       1       0       0       0       0       0
   [5,]       0       0       0       1       1       0       0       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       0       0       1       1       0       1       0       0
   [8,]       0       1       0       0       1       0       0       1       0
   [9,]       1       0       1       0       0       0       0       0       0
  [10,]       0       1       0       1       0       1       0       0       0
        [,3536] [,3537] [,3538] [,3539] [,3540] [,3541] [,3542] [,3543] [,3544]
   [1,]       0       1       1       0       0       1       0       0       1
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       1       1       0       1       0       0       1       1
   [6,]       0       0       0       0       1       0       0       0       1
   [7,]       1       0       1       1       0       0       0       0       0
   [8,]       0       0       1       1       0       1       0       0       0
   [9,]       0       1       0       0       0       1       0       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,3545] [,3546] [,3547] [,3548] [,3549] [,3550] [,3551] [,3552] [,3553]
   [1,]       0       0       0       1       0       1       1       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       1       0       1       0       0       1       0       0
   [4,]       0       1       0       0       1       1       0       0       0
   [5,]       0       0       1       0       1       1       0       0       0
   [6,]       1       0       0       1       0       0       0       0       0
   [7,]       1       0       1       0       0       1       0       1       0
   [8,]       0       0       0       0       1       0       1       0       0
   [9,]       0       1       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,3554] [,3555] [,3556] [,3557] [,3558] [,3559] [,3560] [,3561] [,3562]
   [1,]       0       1       0       0       0       0       1       0       1
   [2,]       0       0       1       1       1       0       0       0       0
   [3,]       0       0       0       0       1       1       1       1       0
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       0       0       0       0       1       1       0       1       1
   [6,]       0       0       0       0       0       1       1       0       0
   [7,]       0       0       0       1       0       0       1       1       1
   [8,]       0       1       1       0       1       0       0       1       0
   [9,]       0       0       0       0       1       0       0       0       1
  [10,]       1       0       1       0       0       0       0       0       1
        [,3563] [,3564] [,3565] [,3566] [,3567] [,3568] [,3569] [,3570] [,3571]
   [1,]       0       0       0       1       0       1       1       0       0
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       1       0       0       1       1       0       0       0
   [5,]       1       0       1       1       0       1       0       0       0
   [6,]       1       0       0       1       0       0       0       0       0
   [7,]       0       1       1       0       0       0       0       0       0
   [8,]       1       0       1       0       1       0       0       1       0
   [9,]       1       0       0       0       1       0       1       0       1
  [10,]       0       0       1       0       0       0       1       1       0
        [,3572] [,3573] [,3574] [,3575] [,3576] [,3577] [,3578] [,3579] [,3580]
   [1,]       0       1       0       1       1       0       0       0       0
   [2,]       0       1       0       1       0       0       0       0       1
   [3,]       0       0       0       0       1       0       0       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       1       1       0       1       0       0       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       0       0       1       0       1       0       0       1
   [8,]       1       0       1       1       0       0       1       1       1
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       1       0       1       0       1       0       0       0
        [,3581] [,3582] [,3583] [,3584] [,3585] [,3586] [,3587] [,3588] [,3589]
   [1,]       0       1       0       0       0       0       1       0       0
   [2,]       0       1       0       1       0       0       0       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       1       1       1       0       0       0       0       1       1
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       0       0       1       1       0       1       1       0
   [7,]       1       0       0       1       0       0       0       0       0
   [8,]       0       1       0       0       0       0       0       0       1
   [9,]       0       1       0       0       1       1       1       0       0
  [10,]       0       0       1       0       0       1       0       0       0
        [,3590] [,3591] [,3592] [,3593] [,3594] [,3595] [,3596] [,3597] [,3598]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       0       0       1       0       1       0       0       0
   [3,]       0       0       0       0       1       0       1       1       0
   [4,]       0       0       1       0       1       0       0       0       0
   [5,]       0       0       0       0       1       1       0       0       1
   [6,]       0       0       0       0       1       1       0       0       1
   [7,]       1       0       1       0       0       0       0       1       1
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       1       1       1       1       0       0       0       1       0
        [,3599] [,3600] [,3601] [,3602] [,3603] [,3604] [,3605] [,3606] [,3607]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       0       1       0       0       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       1       1       0       1       1       0       0       0
   [5,]       0       0       0       1       0       1       0       1       0
   [6,]       0       1       1       1       0       0       0       0       0
   [7,]       1       0       1       1       0       0       0       0       1
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       1       1       0       0       0       1       0       1
  [10,]       0       1       1       0       0       0       0       0       0
        [,3608] [,3609] [,3610] [,3611] [,3612] [,3613] [,3614] [,3615] [,3616]
   [1,]       0       1       0       0       1       0       0       0       0
   [2,]       1       0       1       1       0       0       1       1       0
   [3,]       1       0       0       1       1       1       0       1       0
   [4,]       1       0       1       1       0       0       1       0       0
   [5,]       1       0       0       0       0       0       0       0       1
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       1       0       0       0       1       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       1       0       0       1       0       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,3617] [,3618] [,3619] [,3620] [,3621] [,3622] [,3623] [,3624] [,3625]
   [1,]       0       0       1       0       1       0       0       0       1
   [2,]       0       0       0       1       0       1       0       1       0
   [3,]       0       0       0       1       1       0       1       0       0
   [4,]       0       0       0       0       0       0       1       0       1
   [5,]       1       0       0       1       0       1       0       1       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       1       0       1       0       0       0       0       0       0
   [9,]       0       0       1       0       0       1       0       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,3626] [,3627] [,3628] [,3629] [,3630] [,3631] [,3632] [,3633] [,3634]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       0       0       1       0       0       0       0       0
   [3,]       0       1       0       1       0       0       0       0       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       1       0       0       1       0       0       0       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       1       0       0       0       0       1       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       1       0       0       0       0       0       0       0       0
        [,3635] [,3636] [,3637] [,3638] [,3639] [,3640] [,3641] [,3642] [,3643]
   [1,]       0       1       0       0       0       0       1       0       1
   [2,]       0       0       1       0       0       0       1       0       0
   [3,]       0       0       0       1       0       0       0       1       1
   [4,]       0       0       0       1       1       0       0       0       0
   [5,]       0       1       0       0       1       1       0       0       1
   [6,]       0       1       1       0       0       0       0       0       1
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       1       1       0       1       0       0       0       0       0
   [9,]       0       0       0       0       1       0       1       1       0
  [10,]       0       0       1       0       0       1       0       0       1
        [,3644] [,3645] [,3646] [,3647] [,3648] [,3649] [,3650] [,3651] [,3652]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       0       0       1       1       0       0       0       0       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       1       1       0       0       1       0       1       0       0
   [8,]       0       0       1       1       1       1       0       0       0
   [9,]       1       1       0       0       1       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,3653] [,3654] [,3655] [,3656] [,3657] [,3658] [,3659] [,3660] [,3661]
   [1,]       0       1       0       0       0       0       0       1       0
   [2,]       1       0       0       1       0       1       0       0       0
   [3,]       0       0       0       1       0       0       0       0       1
   [4,]       1       0       0       1       0       0       1       1       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       0       0       1       1       0       1       1       1
   [8,]       0       1       0       0       1       0       0       0       0
   [9,]       1       0       0       1       0       1       0       0       1
  [10,]       0       0       0       1       1       0       0       0       0
        [,3662] [,3663] [,3664] [,3665] [,3666] [,3667] [,3668] [,3669] [,3670]
   [1,]       1       0       0       0       0       1       0       0       0
   [2,]       0       0       1       0       1       0       1       1       1
   [3,]       0       1       1       0       1       0       1       1       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       0       0       1       0       1       0       1       1
   [7,]       0       0       0       1       0       0       0       0       1
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       0       0       1       1       0       1       0       0
  [10,]       0       0       0       1       0       1       0       0       0
        [,3671] [,3672] [,3673] [,3674] [,3675] [,3676] [,3677] [,3678] [,3679]
   [1,]       0       1       0       1       0       0       0       0       0
   [2,]       0       0       0       1       0       0       0       1       0
   [3,]       1       0       0       1       0       0       0       0       1
   [4,]       0       0       0       0       0       0       1       0       1
   [5,]       1       0       0       0       0       0       0       0       1
   [6,]       0       1       0       0       0       0       1       1       0
   [7,]       1       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       1       0       0       0       1       0       0       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,3680] [,3681] [,3682] [,3683] [,3684] [,3685] [,3686] [,3687] [,3688]
   [1,]       1       1       0       0       0       0       0       0       0
   [2,]       0       1       0       0       0       0       0       1       0
   [3,]       1       0       0       0       0       1       1       0       0
   [4,]       0       0       1       1       1       0       0       0       0
   [5,]       1       0       1       0       1       0       0       0       0
   [6,]       0       0       0       0       0       0       0       1       1
   [7,]       1       0       0       0       1       0       0       0       0
   [8,]       0       0       1       0       0       0       0       0       1
   [9,]       1       0       1       0       0       1       0       1       1
  [10,]       0       1       1       0       1       1       0       0       0
        [,3689] [,3690] [,3691] [,3692] [,3693] [,3694] [,3695] [,3696] [,3697]
   [1,]       1       0       0       1       0       0       0       1       1
   [2,]       1       0       0       0       0       0       1       0       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       0       1       1       0       0       1       0       1       1
   [9,]       1       0       0       0       0       0       1       1       0
  [10,]       0       0       1       0       0       1       0       1       0
        [,3698] [,3699] [,3700] [,3701] [,3702] [,3703] [,3704] [,3705] [,3706]
   [1,]       1       0       0       1       1       0       0       1       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       1       1       1       0       0       1
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       1       1       0       0
   [7,]       0       0       0       0       0       0       0       1       1
   [8,]       1       0       0       1       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       1       1       0       0       0
        [,3707] [,3708] [,3709] [,3710] [,3711] [,3712] [,3713] [,3714] [,3715]
   [1,]       0       0       1       0       0       1       0       0       1
   [2,]       1       0       0       0       0       0       1       0       0
   [3,]       0       1       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       1       1       1       0       1       0       0       1       1
   [6,]       0       0       0       0       1       1       0       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       0       1       1       1       1       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       1       0       0       0       0       1       0       0       1
        [,3716] [,3717] [,3718] [,3719] [,3720] [,3721] [,3722] [,3723] [,3724]
   [1,]       0       0       0       1       0       0       0       1       1
   [2,]       0       1       0       0       0       0       0       1       0
   [3,]       1       0       0       0       0       1       0       0       0
   [4,]       0       1       1       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       1       0       0       0       1       0       0       1
   [7,]       0       0       0       1       0       1       1       0       1
   [8,]       0       0       0       0       0       1       0       0       1
   [9,]       0       1       0       0       1       0       1       1       1
  [10,]       0       1       0       0       0       0       0       0       1
        [,3725] [,3726] [,3727] [,3728] [,3729] [,3730] [,3731] [,3732] [,3733]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       1       0       1       0       0       0       0       0
   [3,]       0       0       1       0       1       1       0       0       0
   [4,]       1       0       1       0       0       0       0       0       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       1       1       1       1       1       0       1       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       1       0       1       0       1       1
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       0       0       0       1       1       0       1       1
        [,3734] [,3735] [,3736] [,3737] [,3738] [,3739] [,3740] [,3741] [,3742]
   [1,]       1       0       0       0       0       0       0       1       0
   [2,]       0       1       0       1       0       1       0       0       1
   [3,]       0       0       0       0       1       1       0       1       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       0       1       0       0       1       0       0       0
   [6,]       0       0       0       0       0       0       0       1       1
   [7,]       0       1       1       1       1       0       0       1       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       1       1       0       0       0       1
  [10,]       1       1       0       1       0       0       0       0       1
        [,3743] [,3744] [,3745] [,3746] [,3747] [,3748] [,3749] [,3750] [,3751]
   [1,]       0       0       0       0       0       0       1       1       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       1       0       0       0       0       0       1       0       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       0       0       0       0       0       1       0       1       1
   [7,]       0       1       0       0       0       1       0       0       0
   [8,]       0       0       0       0       0       0       1       1       0
   [9,]       1       0       1       0       0       1       0       0       1
  [10,]       0       0       0       1       0       1       0       0       0
        [,3752] [,3753] [,3754] [,3755] [,3756] [,3757] [,3758] [,3759] [,3760]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       1       0       0       0       1
   [3,]       0       1       0       0       1       0       1       0       0
   [4,]       0       0       1       0       0       1       0       0       0
   [5,]       0       0       0       1       0       1       1       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       1       0       0       1       1       0       0       0       0
   [9,]       1       0       0       1       1       0       0       0       0
  [10,]       0       0       0       1       1       0       0       0       1
        [,3761] [,3762] [,3763] [,3764] [,3765] [,3766] [,3767] [,3768] [,3769]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       0       0       1       1       0       0       1       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       1       0       0       0       1       0       0       0
   [5,]       1       0       1       1       0       0       0       0       1
   [6,]       0       0       0       1       0       1       1       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       1       0       0       0       0       0       1       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,3770] [,3771] [,3772] [,3773] [,3774] [,3775] [,3776] [,3777] [,3778]
   [1,]       0       0       0       0       1       0       0       0       1
   [2,]       1       0       0       0       1       0       1       0       0
   [3,]       0       0       0       0       0       1       0       0       1
   [4,]       1       0       0       0       0       0       1       0       0
   [5,]       0       0       1       0       0       0       0       0       1
   [6,]       0       1       0       1       0       1       1       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       1       0       1       0       1       0       0       1
  [10,]       0       1       0       0       1       1       0       0       0
        [,3779] [,3780] [,3781] [,3782] [,3783] [,3784] [,3785] [,3786] [,3787]
   [1,]       1       0       1       0       0       0       0       0       0
   [2,]       1       1       0       0       1       0       0       1       1
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       1       1       0       1       0       0       0       0       1
   [5,]       0       1       0       1       0       0       0       0       1
   [6,]       0       1       1       1       1       0       0       0       0
   [7,]       0       0       1       1       0       1       0       1       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       1       1       1       0       0       0       1       1       1
  [10,]       0       0       0       0       0       0       0       0       1
        [,3788] [,3789] [,3790] [,3791] [,3792] [,3793] [,3794] [,3795] [,3796]
   [1,]       0       0       0       0       0       0       0       1       1
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       1       0       0       0       1       0       1       1       1
   [4,]       0       0       0       0       1       1       1       1       0
   [5,]       0       1       1       0       1       1       0       0       0
   [6,]       0       0       0       0       1       0       0       0       1
   [7,]       0       1       0       0       0       1       1       0       0
   [8,]       0       0       0       0       1       0       0       1       0
   [9,]       1       0       0       1       0       1       0       1       1
  [10,]       0       0       0       0       0       0       1       0       0
        [,3797] [,3798] [,3799] [,3800] [,3801] [,3802] [,3803] [,3804] [,3805]
   [1,]       0       1       1       1       0       1       0       0       1
   [2,]       1       1       0       1       0       0       0       0       1
   [3,]       0       0       1       0       1       0       0       0       0
   [4,]       0       0       1       0       0       1       1       0       0
   [5,]       0       0       0       1       0       0       1       0       0
   [6,]       0       0       0       0       1       0       0       1       0
   [7,]       0       0       1       0       1       0       0       0       0
   [8,]       1       0       0       0       0       0       0       1       0
   [9,]       0       0       0       0       0       0       1       1       1
  [10,]       0       0       0       0       0       0       0       0       1
        [,3806] [,3807] [,3808] [,3809] [,3810] [,3811] [,3812] [,3813] [,3814]
   [1,]       1       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       0       1       0       0       1
   [3,]       0       0       0       1       0       0       1       0       1
   [4,]       1       0       0       0       0       0       1       0       0
   [5,]       1       0       0       1       0       0       0       1       0
   [6,]       0       0       0       1       0       0       0       0       1
   [7,]       0       0       0       0       1       1       0       0       0
   [8,]       0       1       1       0       1       1       0       0       1
   [9,]       0       0       0       0       1       1       1       0       0
  [10,]       0       0       0       0       0       1       1       1       1
        [,3815] [,3816] [,3817] [,3818] [,3819] [,3820] [,3821] [,3822] [,3823]
   [1,]       1       1       0       0       0       1       1       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       0       1       0       0       1       0       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       1       0       0       0       1       0       0       1       0
   [7,]       1       1       0       1       0       0       0       1       1
   [8,]       0       0       0       0       1       1       0       0       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       1       0       0       1       1       1       0       1
        [,3824] [,3825] [,3826] [,3827] [,3828] [,3829] [,3830] [,3831] [,3832]
   [1,]       0       0       0       0       0       1       1       0       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       1       0       0       0       0       0       1       1       0
   [5,]       1       0       0       0       0       0       0       0       1
   [6,]       1       0       0       0       1       0       1       0       1
   [7,]       0       1       0       0       0       0       0       1       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       1       1       1       0       0       1       0
        [,3833] [,3834] [,3835] [,3836] [,3837] [,3838] [,3839] [,3840] [,3841]
   [1,]       0       1       0       0       1       0       1       0       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       1       0       0       0       1       0       1       0       0
   [4,]       1       0       0       1       0       0       1       1       0
   [5,]       0       1       0       0       0       1       0       0       1
   [6,]       0       0       0       0       1       1       1       0       0
   [7,]       1       1       0       0       0       1       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       1       0       0       0       0       0       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,3842] [,3843] [,3844] [,3845] [,3846] [,3847] [,3848] [,3849] [,3850]
   [1,]       1       0       0       1       0       1       0       0       0
   [2,]       0       1       1       1       1       0       1       1       0
   [3,]       1       0       0       0       0       0       1       0       0
   [4,]       1       1       0       0       0       0       1       1       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       0       1       1       0       1       0       1       0
   [7,]       1       0       0       0       0       0       1       0       0
   [8,]       1       0       0       0       0       1       0       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       0       0       0       1       1       1       0
        [,3851] [,3852] [,3853] [,3854] [,3855] [,3856] [,3857] [,3858] [,3859]
   [1,]       0       0       0       1       0       0       0       1       0
   [2,]       0       0       0       0       0       0       1       1       0
   [3,]       0       0       0       0       0       1       1       0       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       1       1       1       1       0       0       0       0
   [6,]       0       1       0       0       0       0       0       0       1
   [7,]       0       0       1       0       0       0       0       0       1
   [8,]       1       0       1       1       0       0       0       0       1
   [9,]       0       0       1       1       0       0       1       0       0
  [10,]       0       1       0       0       0       1       0       1       1
        [,3860] [,3861] [,3862] [,3863] [,3864] [,3865] [,3866] [,3867] [,3868]
   [1,]       1       0       1       1       0       1       0       0       0
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       0       0       1       0       0       0       0       1       0
   [4,]       0       0       0       0       0       0       0       1       1
   [5,]       0       0       1       0       0       0       0       0       1
   [6,]       0       0       1       0       0       1       0       0       0
   [7,]       1       0       1       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       1       0       1
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       0       0       1       0       1       1       1
        [,3869] [,3870] [,3871] [,3872] [,3873] [,3874] [,3875] [,3876] [,3877]
   [1,]       1       0       0       0       0       0       1       0       1
   [2,]       0       0       0       0       0       1       1       0       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       1       1       0       0       0       0       1       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       0       1       0       0       1       0       0       0
   [9,]       0       1       1       0       1       1       1       0       0
  [10,]       0       0       1       0       0       0       0       0       1
        [,3878] [,3879] [,3880] [,3881] [,3882] [,3883] [,3884] [,3885] [,3886]
   [1,]       0       0       0       1       1       0       0       0       0
   [2,]       0       1       0       1       0       0       1       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       1       0       0       0       0       0       0       1       1
   [5,]       0       0       1       0       0       1       0       0       1
   [6,]       1       1       0       0       1       0       0       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       1       0       0       1       0       0       1       0       0
   [9,]       1       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,3887] [,3888] [,3889] [,3890] [,3891] [,3892] [,3893] [,3894] [,3895]
   [1,]       0       0       1       0       0       0       1       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       1       0       0       0       0       1       0       0       0
   [4,]       1       1       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       0       0       0       1       1       1       1       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       0       1       1       0       0       1       0       1
        [,3896] [,3897] [,3898] [,3899] [,3900] [,3901] [,3902] [,3903] [,3904]
   [1,]       1       0       0       0       1       1       1       0       0
   [2,]       1       1       0       0       1       0       0       0       1
   [3,]       0       0       0       1       1       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       0       0       0       0       1       0       0       1       0
   [6,]       1       0       0       0       0       0       0       0       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       1       0       0       0       0       0       1
   [9,]       0       1       0       1       0       0       0       1       0
  [10,]       0       0       1       1       0       0       0       1       0
        [,3905] [,3906] [,3907] [,3908] [,3909] [,3910] [,3911] [,3912] [,3913]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       0       1       0       0       0       1       1       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       1       1       0       0
   [7,]       0       0       0       0       0       1       0       1       0
   [8,]       0       0       0       0       1       0       1       0       0
   [9,]       0       1       1       0       0       0       1       0       1
  [10,]       1       0       1       0       0       0       1       0       1
        [,3914] [,3915] [,3916] [,3917] [,3918] [,3919] [,3920] [,3921] [,3922]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       1       1       0       0       0       1       0       0       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       0       1       0       1       0       1       0       1
   [7,]       1       0       0       0       1       1       0       0       0
   [8,]       0       0       0       1       0       0       0       0       1
   [9,]       0       0       1       0       0       0       0       1       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,3923] [,3924] [,3925] [,3926] [,3927] [,3928] [,3929] [,3930] [,3931]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       1       0       1
   [3,]       0       0       0       1       0       0       1       1       1
   [4,]       0       0       0       0       0       1       0       1       1
   [5,]       1       1       0       1       0       0       0       0       0
   [6,]       0       1       1       1       0       0       0       0       0
   [7,]       1       1       0       0       1       0       0       0       1
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       1       0       1       0       1       1       1       0
  [10,]       0       1       0       0       0       0       0       0       1
        [,3932] [,3933] [,3934] [,3935] [,3936] [,3937] [,3938] [,3939] [,3940]
   [1,]       1       0       0       1       0       0       0       0       0
   [2,]       0       0       0       1       0       1       1       1       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       0       1       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       1       0       0       0       0       1       0       1       0
   [8,]       0       1       0       0       0       0       1       0       0
   [9,]       0       0       0       0       1       0       0       0       1
  [10,]       0       0       1       0       0       1       0       0       0
        [,3941] [,3942] [,3943] [,3944] [,3945] [,3946] [,3947] [,3948] [,3949]
   [1,]       1       0       0       0       0       0       1       1       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       1       0
   [5,]       1       1       0       0       1       0       0       1       1
   [6,]       1       1       0       0       0       0       0       1       0
   [7,]       1       0       0       0       0       1       0       1       0
   [8,]       1       0       0       0       0       0       0       0       1
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       1       0       1       0       0       1       0       0       0
        [,3950] [,3951] [,3952] [,3953] [,3954] [,3955] [,3956] [,3957] [,3958]
   [1,]       1       0       1       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       1       1       0       0       0       0       0       1       0
   [4,]       0       1       1       0       0       0       0       0       0
   [5,]       0       1       0       1       0       1       0       1       0
   [6,]       1       0       0       0       0       0       1       0       1
   [7,]       0       0       0       0       0       1       1       0       0
   [8,]       0       0       1       1       0       0       1       0       1
   [9,]       0       0       1       0       0       0       0       1       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,3959] [,3960] [,3961] [,3962] [,3963] [,3964] [,3965] [,3966] [,3967]
   [1,]       1       0       0       0       0       0       0       1       0
   [2,]       1       0       0       0       1       0       1       0       0
   [3,]       0       0       0       1       1       0       0       0       0
   [4,]       0       0       0       1       0       1       0       0       0
   [5,]       1       1       0       1       1       0       0       1       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       1       0       0       0       1       0
  [10,]       0       1       0       0       0       0       0       1       0
        [,3968] [,3969] [,3970] [,3971] [,3972] [,3973] [,3974] [,3975] [,3976]
   [1,]       1       0       1       0       0       0       0       1       0
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       1       0       1       1       0       0       0       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       1       0       0       0       0       1
  [10,]       0       0       0       1       0       0       1       0       0
        [,3977] [,3978] [,3979] [,3980] [,3981] [,3982] [,3983] [,3984] [,3985]
   [1,]       0       1       0       1       0       1       0       1       0
   [2,]       1       0       0       0       0       0       0       0       1
   [3,]       0       0       0       1       0       1       1       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       1       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       1       0       1       1       0       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       1       0       1       0       0       0       0       0
  [10,]       0       0       0       1       0       0       0       1       0
        [,3986] [,3987] [,3988] [,3989] [,3990] [,3991] [,3992] [,3993] [,3994]
   [1,]       1       0       0       1       0       0       0       0       0
   [2,]       1       1       0       0       0       0       0       1       1
   [3,]       1       0       0       0       0       0       0       0       1
   [4,]       1       1       0       0       0       0       0       0       0
   [5,]       0       1       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       1       0       0       1       1       0       1       1
   [8,]       0       0       0       1       1       1       0       0       0
   [9,]       1       0       0       1       0       1       1       1       0
  [10,]       1       0       0       1       0       1       0       1       0
        [,3995] [,3996] [,3997] [,3998] [,3999] [,4000] [,4001] [,4002] [,4003]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       0       0       1
   [3,]       0       0       0       0       0       1       0       1       1
   [4,]       0       0       1       0       1       0       0       0       0
   [5,]       0       1       0       0       0       0       0       0       1
   [6,]       0       0       0       0       0       0       1       0       1
   [7,]       0       0       1       0       1       1       1       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       1       0       0       0       1       1
  [10,]       0       0       0       1       0       0       0       1       0
        [,4004] [,4005] [,4006] [,4007] [,4008] [,4009] [,4010] [,4011] [,4012]
   [1,]       1       0       1       0       0       0       0       0       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       1       1       0       0       0       0       0       0       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       1       0       0       1       1       1       0       1
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       1       1       0       1       0       0       0       0       0
   [9,]       0       0       0       1       1       1       0       0       1
  [10,]       0       1       0       0       1       0       1       1       0
        [,4013] [,4014] [,4015] [,4016] [,4017] [,4018] [,4019] [,4020] [,4021]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       1       0       1       0       0       0       0       1       1
   [4,]       1       0       1       1       0       0       0       0       0
   [5,]       0       0       1       0       1       0       0       0       0
   [6,]       0       1       1       0       0       0       0       1       0
   [7,]       0       0       0       1       1       0       1       1       0
   [8,]       1       0       0       0       0       0       1       0       0
   [9,]       1       0       1       0       1       0       0       1       0
  [10,]       1       1       0       0       0       0       0       0       1
        [,4022] [,4023] [,4024] [,4025] [,4026] [,4027] [,4028] [,4029] [,4030]
   [1,]       0       1       1       0       0       0       0       0       1
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       1       0       0       0       0       1       0       1       0
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       0       0       0       1       1       1       0       0       0
   [6,]       0       0       1       0       1       0       0       0       0
   [7,]       0       1       0       0       0       0       1       0       0
   [8,]       0       1       1       0       0       0       1       1       0
   [9,]       0       0       1       0       0       1       1       0       0
  [10,]       0       1       1       1       0       0       1       0       0
        [,4031] [,4032] [,4033] [,4034] [,4035] [,4036] [,4037] [,4038] [,4039]
   [1,]       0       1       0       1       1       1       0       0       1
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       1       1       0       0       0       0       1       0
   [4,]       1       1       0       0       0       0       0       0       0
   [5,]       0       1       0       0       0       0       0       0       1
   [6,]       0       1       0       0       0       1       1       0       1
   [7,]       0       1       0       1       0       0       1       1       0
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       0       1       0       1       0       0       0       1       0
  [10,]       0       0       1       1       0       1       0       0       0
        [,4040] [,4041] [,4042] [,4043] [,4044] [,4045] [,4046] [,4047] [,4048]
   [1,]       0       0       1       0       0       0       1       1       1
   [2,]       0       0       1       1       0       1       1       0       0
   [3,]       1       1       0       0       0       1       1       0       0
   [4,]       0       0       0       1       0       1       0       1       0
   [5,]       0       0       1       0       0       0       1       0       0
   [6,]       0       0       1       1       0       0       1       0       0
   [7,]       0       1       0       0       0       0       1       1       0
   [8,]       0       1       0       1       0       0       0       0       1
   [9,]       0       1       1       1       0       1       0       0       0
  [10,]       0       0       0       0       0       0       1       0       1
        [,4049] [,4050] [,4051] [,4052] [,4053] [,4054] [,4055] [,4056] [,4057]
   [1,]       1       0       1       0       0       1       0       0       0
   [2,]       0       1       0       0       0       0       0       1       1
   [3,]       0       1       1       0       0       1       0       0       0
   [4,]       0       0       0       0       0       1       0       1       0
   [5,]       0       1       0       0       0       0       1       0       1
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       1       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,4058] [,4059] [,4060] [,4061] [,4062] [,4063] [,4064] [,4065] [,4066]
   [1,]       0       0       0       1       0       1       0       1       0
   [2,]       1       0       0       0       1       0       1       1       1
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       1       0       0       0       1       0       0
   [5,]       0       1       0       1       0       0       0       1       0
   [6,]       0       1       0       0       0       0       1       0       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       1       0       0       0       0       0       1       1
   [9,]       0       0       1       0       0       0       1       1       0
  [10,]       0       0       0       0       1       1       0       0       0
        [,4067] [,4068] [,4069] [,4070] [,4071] [,4072] [,4073] [,4074] [,4075]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       1       0       0       0       0       1       0       0
   [3,]       1       0       0       0       0       1       0       0       0
   [4,]       0       1       1       0       0       0       0       1       1
   [5,]       0       0       0       0       1       0       1       0       0
   [6,]       0       0       1       1       0       0       0       0       0
   [7,]       0       1       0       1       0       0       0       0       0
   [8,]       1       1       0       1       0       1       0       0       0
   [9,]       0       0       0       1       0       0       1       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,4076] [,4077] [,4078] [,4079] [,4080] [,4081] [,4082] [,4083] [,4084]
   [1,]       0       0       0       0       1       1       0       0       0
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       0       1       0       0       0       1       0       0       1
   [5,]       1       1       1       1       1       0       0       0       0
   [6,]       1       0       0       0       0       1       0       0       0
   [7,]       0       0       0       0       1       0       0       1       1
   [8,]       1       1       0       0       1       0       1       0       1
   [9,]       0       1       0       1       0       0       0       1       1
  [10,]       1       0       0       0       0       0       1       0       1
        [,4085] [,4086] [,4087] [,4088] [,4089] [,4090] [,4091] [,4092] [,4093]
   [1,]       0       0       0       1       0       0       1       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       1       0       0       0       1       0       1       1       0
   [5,]       1       0       1       0       1       0       0       0       1
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       1       0       0       0       1       0
   [8,]       0       0       0       0       0       0       1       1       0
   [9,]       0       1       0       0       0       0       0       1       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,4094] [,4095] [,4096] [,4097] [,4098] [,4099] [,4100] [,4101] [,4102]
   [1,]       0       0       0       1       0       1       0       1       1
   [2,]       0       1       0       0       0       0       0       1       0
   [3,]       0       1       0       0       0       0       1       1       0
   [4,]       1       0       0       0       1       0       0       0       0
   [5,]       1       0       1       0       0       0       0       0       0
   [6,]       0       1       1       0       0       1       1       1       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       0       1       0       0       0       1       0       0       1
  [10,]       0       1       1       0       0       0       0       1       0
        [,4103] [,4104] [,4105] [,4106] [,4107] [,4108] [,4109] [,4110] [,4111]
   [1,]       0       0       0       0       0       0       0       1       1
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       1       0       0       0       1       0       0       0       0
   [4,]       0       0       1       0       0       1       0       1       0
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       0       0       1       0       1       1       1       0       1
   [7,]       1       0       0       1       1       1       0       0       0
   [8,]       0       0       0       1       1       0       0       0       1
   [9,]       1       0       0       1       0       0       0       0       0
  [10,]       0       0       0       1       1       0       0       1       0
        [,4112] [,4113] [,4114] [,4115] [,4116] [,4117] [,4118] [,4119] [,4120]
   [1,]       0       0       1       0       0       1       1       0       1
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       0       0       0       1       0       0       1       0
   [4,]       0       1       0       1       0       0       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       1       0       0       0       0       1
   [8,]       0       1       0       0       0       1       0       1       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,4121] [,4122] [,4123] [,4124] [,4125] [,4126] [,4127] [,4128] [,4129]
   [1,]       0       0       0       0       0       1       1       1       0
   [2,]       0       0       1       1       0       0       0       1       0
   [3,]       0       1       0       0       1       0       1       0       0
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       1       0       1
   [6,]       0       0       1       0       1       0       0       0       0
   [7,]       0       0       1       0       0       0       1       1       0
   [8,]       1       1       0       0       0       0       1       0       0
   [9,]       0       1       0       0       0       1       0       1       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,4130] [,4131] [,4132] [,4133] [,4134] [,4135] [,4136] [,4137] [,4138]
   [1,]       0       0       0       0       0       0       1       0       1
   [2,]       0       0       1       1       0       0       0       1       0
   [3,]       1       0       1       0       0       0       0       0       1
   [4,]       1       0       1       0       0       0       0       1       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       1       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       1       1       1
   [8,]       0       1       0       0       1       0       0       0       0
   [9,]       0       1       0       0       0       0       1       1       0
  [10,]       0       1       0       0       0       0       1       1       0
        [,4139] [,4140] [,4141] [,4142] [,4143] [,4144] [,4145] [,4146] [,4147]
   [1,]       0       0       1       0       0       1       0       0       0
   [2,]       0       0       0       0       0       1       1       1       0
   [3,]       0       0       1       0       1       0       0       0       0
   [4,]       0       0       1       0       0       1       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       1       0       0       0       1       1       1
   [7,]       0       0       0       0       1       0       0       0       1
   [8,]       0       0       1       0       0       1       0       1       0
   [9,]       1       0       0       1       0       0       0       0       0
  [10,]       0       0       0       1       0       1       1       0       0
        [,4148] [,4149] [,4150] [,4151] [,4152] [,4153] [,4154] [,4155] [,4156]
   [1,]       0       1       0       0       1       1       0       0       0
   [2,]       0       1       0       0       0       0       1       0       1
   [3,]       0       0       0       0       0       0       1       0       1
   [4,]       0       0       0       1       1       0       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       1       0       0       0       0       1       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       1       1       0       1       0       1       0       0       1
   [9,]       0       0       1       0       0       0       0       0       1
  [10,]       0       0       0       1       0       1       0       1       0
        [,4157] [,4158] [,4159] [,4160] [,4161] [,4162] [,4163] [,4164] [,4165]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       1       1       1       0       0       0       0
   [5,]       1       0       0       1       0       1       0       0       0
   [6,]       0       0       0       1       1       0       0       0       1
   [7,]       0       0       0       0       0       1       0       0       1
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       0       0       0       1       1       0       0       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,4166] [,4167] [,4168] [,4169] [,4170] [,4171] [,4172] [,4173] [,4174]
   [1,]       1       0       1       0       0       0       1       0       0
   [2,]       1       0       0       0       0       1       0       0       0
   [3,]       0       0       1       0       0       1       0       1       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       1       1       1       0       0       1       0
   [6,]       0       1       0       1       0       1       1       0       0
   [7,]       0       1       0       0       0       1       0       1       1
   [8,]       1       0       1       0       1       0       0       1       0
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       1       0       1       0       1       1       0       0       0
        [,4175] [,4176] [,4177] [,4178] [,4179] [,4180] [,4181] [,4182] [,4183]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       0       0       1       0       0       0       0       1       0
   [5,]       0       0       0       1       0       1       0       0       0
   [6,]       0       1       0       0       1       0       0       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       1       1       0       0       1       0       0       0
        [,4184] [,4185] [,4186] [,4187] [,4188] [,4189] [,4190] [,4191] [,4192]
   [1,]       1       0       0       0       1       0       0       0       1
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       1       0       0       1       1       0       1       1
   [4,]       1       1       0       0       0       0       0       0       1
   [5,]       0       0       0       0       1       0       0       1       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       1       0       1       1       0       1       0       1
   [9,]       0       1       0       0       1       0       1       0       0
  [10,]       1       0       0       0       0       0       0       0       0
        [,4193] [,4194] [,4195] [,4196] [,4197] [,4198] [,4199] [,4200] [,4201]
   [1,]       0       1       0       1       0       1       0       0       0
   [2,]       1       1       0       0       0       1       0       1       0
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       0       1
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       1       1       1       0       1       0
   [7,]       0       0       1       0       0       0       1       1       0
   [8,]       0       0       0       0       0       1       0       1       0
   [9,]       0       1       1       0       0       0       0       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,4202] [,4203] [,4204] [,4205] [,4206] [,4207] [,4208] [,4209] [,4210]
   [1,]       1       0       1       0       1       0       1       0       1
   [2,]       0       0       0       0       0       0       1       0       1
   [3,]       0       1       0       1       0       1       0       0       0
   [4,]       0       1       1       0       0       1       0       1       0
   [5,]       0       0       1       1       1       0       0       0       0
   [6,]       0       0       0       0       0       0       1       0       1
   [7,]       0       0       1       0       0       0       1       0       0
   [8,]       0       0       0       1       1       1       1       0       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       0       0       0       0       0       0       1       0
        [,4211] [,4212] [,4213] [,4214] [,4215] [,4216] [,4217] [,4218] [,4219]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       0       0       0       0       0       0       1       0       1
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       0       0       1       0       1       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       1       1       1       0       0       0       1
   [7,]       1       0       1       0       0       0       0       0       1
   [8,]       0       1       0       1       0       1       0       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       1       1       1       0       0       0       0       0       0
        [,4220] [,4221] [,4222] [,4223] [,4224] [,4225] [,4226] [,4227] [,4228]
   [1,]       0       0       0       0       0       1       0       1       0
   [2,]       0       0       0       1       1       0       0       0       0
   [3,]       0       1       1       0       0       0       0       0       0
   [4,]       0       0       0       1       0       0       0       1       1
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       1       0       0       1       0       0       0       0
   [7,]       0       1       0       0       1       1       0       1       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       1       0       0       0       1       1
  [10,]       1       0       0       0       0       1       1       1       1
        [,4229] [,4230] [,4231] [,4232] [,4233] [,4234] [,4235] [,4236] [,4237]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       1       1       0       0       1       0       0       1
   [3,]       0       1       0       0       1       0       0       1       0
   [4,]       1       1       1       0       0       0       1       1       1
   [5,]       0       0       0       1       1       0       0       0       1
   [6,]       0       1       0       0       0       0       1       1       0
   [7,]       0       0       1       0       0       0       0       1       0
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       1       0       0       0       1       1       0       1
  [10,]       0       0       1       1       1       0       1       1       0
        [,4238] [,4239] [,4240] [,4241] [,4242] [,4243] [,4244] [,4245] [,4246]
   [1,]       1       0       0       0       0       1       0       1       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       1       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       0       1       0       0       0       0       1       0       0
   [6,]       0       0       1       0       0       1       0       0       1
   [7,]       0       0       1       0       1       1       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       1       1
        [,4247] [,4248] [,4249] [,4250] [,4251] [,4252] [,4253] [,4254] [,4255]
   [1,]       1       0       0       0       0       1       0       0       0
   [2,]       1       0       0       0       0       1       0       0       1
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       0       1       0       0       0       0       0       0       1
   [5,]       1       1       0       0       1       1       0       0       0
   [6,]       1       0       0       0       0       0       1       0       0
   [7,]       1       1       1       0       0       0       1       1       0
   [8,]       1       0       0       0       1       0       0       0       0
   [9,]       1       0       1       0       0       0       0       0       0
  [10,]       1       0       0       0       0       1       0       1       0
        [,4256] [,4257] [,4258] [,4259] [,4260] [,4261] [,4262] [,4263] [,4264]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       0       0       1       0       0       1       0       0       0
   [3,]       0       0       1       0       0       0       0       1       0
   [4,]       1       0       0       0       0       0       0       1       1
   [5,]       0       0       0       1       0       0       1       0       1
   [6,]       0       0       1       0       0       1       1       1       0
   [7,]       0       1       0       0       0       0       0       1       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       1       0       1       0       1       0       0       1
  [10,]       1       0       0       1       0       0       1       0       0
        [,4265] [,4266] [,4267] [,4268] [,4269] [,4270] [,4271] [,4272] [,4273]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       1       1       0
   [3,]       0       0       1       1       1       0       0       0       1
   [4,]       0       0       1       0       0       1       0       1       0
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       1       0       1       1       0
   [8,]       0       1       1       0       1       0       0       1       0
   [9,]       0       0       0       0       1       0       1       0       0
  [10,]       0       0       1       0       0       0       1       0       1
        [,4274] [,4275] [,4276] [,4277] [,4278] [,4279] [,4280] [,4281] [,4282]
   [1,]       0       0       1       0       1       1       1       0       0
   [2,]       0       0       0       0       0       1       0       0       1
   [3,]       0       0       0       1       1       1       0       0       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       1       0       1       1       1       1       1       1
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       1       0       1       0       0       0       0       0
        [,4283] [,4284] [,4285] [,4286] [,4287] [,4288] [,4289] [,4290] [,4291]
   [1,]       0       0       1       0       1       0       1       0       0
   [2,]       1       0       1       0       0       0       0       0       1
   [3,]       1       0       0       0       0       0       1       1       0
   [4,]       0       0       0       0       0       1       1       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       0       0       0       0       0       0       0       1
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       1       1       0       1       0
        [,4292] [,4293] [,4294] [,4295] [,4296] [,4297] [,4298] [,4299] [,4300]
   [1,]       0       0       1       1       0       0       0       1       0
   [2,]       0       0       1       0       0       1       0       0       0
   [3,]       1       1       0       0       0       0       0       1       0
   [4,]       1       0       0       0       1       0       1       1       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       1       1       0       0       0       0       0       0
   [7,]       0       0       0       1       1       0       0       1       0
   [8,]       1       0       0       0       0       0       1       0       1
   [9,]       0       1       0       0       0       1       0       1       1
  [10,]       0       0       0       0       0       0       0       1       0
        [,4301] [,4302] [,4303] [,4304] [,4305] [,4306] [,4307] [,4308] [,4309]
   [1,]       1       1       0       0       0       0       1       0       1
   [2,]       1       1       1       0       0       0       1       0       0
   [3,]       0       1       0       0       1       1       1       1       0
   [4,]       1       0       1       0       0       0       0       1       0
   [5,]       0       1       0       0       1       1       0       1       1
   [6,]       1       0       0       0       1       1       1       1       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       1       0       0       0       1       1       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,4310] [,4311] [,4312] [,4313] [,4314] [,4315] [,4316] [,4317] [,4318]
   [1,]       0       0       0       0       0       1       1       0       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       1       1       0       1       0       0       1
   [6,]       0       0       0       1       0       0       0       0       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       1       0       1       0       0       0
   [9,]       1       0       0       0       0       0       0       1       0
  [10,]       0       0       0       0       0       1       0       0       1
        [,4319] [,4320] [,4321] [,4322] [,4323] [,4324] [,4325] [,4326] [,4327]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       1       0       1       0       0       1       0
   [3,]       1       0       0       0       1       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       1       0       0       0       0       1       0       0
   [6,]       0       0       0       0       1       0       0       1       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       1       1       1       0       0
   [9,]       0       1       0       0       1       1       0       0       0
  [10,]       1       0       0       1       0       0       0       0       0
        [,4328] [,4329] [,4330] [,4331] [,4332] [,4333] [,4334] [,4335] [,4336]
   [1,]       0       0       1       0       1       0       0       0       0
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       0       0       0       0       0       1       1       0       0
   [4,]       0       0       1       0       0       0       0       0       1
   [5,]       0       0       0       1       0       0       1       0       1
   [6,]       1       1       0       0       0       0       0       0       0
   [7,]       0       1       0       0       1       0       0       0       0
   [8,]       1       0       0       1       0       0       0       0       1
   [9,]       0       0       0       1       0       1       0       0       0
  [10,]       0       0       1       0       0       0       0       0       1
        [,4337] [,4338] [,4339] [,4340] [,4341] [,4342] [,4343] [,4344] [,4345]
   [1,]       1       0       0       1       0       1       1       1       1
   [2,]       0       1       0       0       1       1       0       1       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       1       0       0       0       0       1       0       0       1
   [5,]       1       1       0       0       0       1       0       0       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       1       0       0       1       1       0       0       1
   [8,]       1       0       0       0       0       0       0       0       1
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       1       1       0       0       1       0       0       0
        [,4346] [,4347] [,4348] [,4349] [,4350] [,4351] [,4352] [,4353] [,4354]
   [1,]       1       1       0       0       0       0       0       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       1       0       0       0       0       0       0       1       0
   [4,]       0       0       0       0       0       1       1       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       0       1       0       1       0       0       0       1
   [7,]       0       0       1       1       0       0       1       0       1
   [8,]       0       1       0       0       0       0       1       0       0
   [9,]       1       1       1       0       0       0       0       1       0
  [10,]       0       1       0       0       0       0       0       0       1
        [,4355] [,4356] [,4357] [,4358] [,4359] [,4360] [,4361] [,4362] [,4363]
   [1,]       0       0       0       0       0       1       1       0       0
   [2,]       0       1       0       0       0       0       0       1       0
   [3,]       1       0       0       0       0       1       1       0       0
   [4,]       1       0       0       0       0       0       1       0       0
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       0       0       1       0       1       0       0       1       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       1       1       0       0       0       1       1       0       1
   [9,]       1       0       0       0       0       1       0       1       0
  [10,]       0       0       0       1       0       0       0       1       0
        [,4364] [,4365] [,4366] [,4367] [,4368] [,4369] [,4370] [,4371] [,4372]
   [1,]       0       1       0       0       0       0       1       0       1
   [2,]       0       0       0       0       0       1       1       1       0
   [3,]       0       0       1       1       0       0       1       0       1
   [4,]       0       0       1       0       0       0       1       0       0
   [5,]       0       0       0       0       0       1       1       1       1
   [6,]       0       0       0       1       0       1       0       1       0
   [7,]       0       0       0       1       0       0       1       0       0
   [8,]       0       0       0       0       0       1       1       1       1
   [9,]       0       0       0       0       1       1       1       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,4373] [,4374] [,4375] [,4376] [,4377] [,4378] [,4379] [,4380] [,4381]
   [1,]       1       0       0       0       1       0       1       0       0
   [2,]       0       0       0       1       0       0       0       1       0
   [3,]       1       1       1       0       1       0       0       1       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       1       0       1       1       0       0       0       0
   [6,]       0       1       0       0       0       0       1       1       1
   [7,]       0       0       1       0       0       0       0       1       0
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       0       0       1       1       0       1       0       1
  [10,]       0       0       0       1       0       0       0       0       0
        [,4382] [,4383] [,4384] [,4385] [,4386] [,4387] [,4388] [,4389] [,4390]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       1       0       0       0       1       0       0       0       1
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       1       1       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       1       1       1       0       0       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       1       0       1       0       0       0       1       1       0
  [10,]       0       0       1       0       0       0       1       0       0
        [,4391] [,4392] [,4393] [,4394] [,4395] [,4396] [,4397] [,4398] [,4399]
   [1,]       0       0       1       0       0       0       1       1       0
   [2,]       1       0       0       0       1       1       0       0       1
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       1       1       0       0       1       1       0       0       1
   [5,]       0       1       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       1       0       0       0       0       0       1       0       0
   [9,]       0       0       0       0       1       1       0       0       1
  [10,]       1       0       1       0       0       0       0       0       0
        [,4400] [,4401] [,4402] [,4403] [,4404] [,4405] [,4406] [,4407] [,4408]
   [1,]       0       1       1       0       0       1       0       1       0
   [2,]       1       1       0       1       0       0       0       0       1
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       1       0       0       1       0       1       0       0
   [5,]       1       0       0       1       1       0       0       0       1
   [6,]       1       0       0       1       1       0       0       1       0
   [7,]       0       1       0       0       1       1       1       0       0
   [8,]       0       1       0       1       1       0       0       1       0
   [9,]       0       0       1       1       0       1       0       0       0
  [10,]       1       1       0       1       0       0       1       0       0
        [,4409] [,4410] [,4411] [,4412] [,4413] [,4414] [,4415] [,4416] [,4417]
   [1,]       0       0       1       0       0       0       0       0       1
   [2,]       1       0       0       0       0       1       0       0       0
   [3,]       0       0       1       0       0       0       0       0       1
   [4,]       1       0       0       0       0       0       1       0       0
   [5,]       0       0       1       0       1       0       0       0       0
   [6,]       0       1       0       1       0       0       1       0       0
   [7,]       0       0       1       0       0       0       0       1       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       0       0       0       1       0       0       1       1
  [10,]       0       0       0       0       0       0       1       1       0
        [,4418] [,4419] [,4420] [,4421] [,4422] [,4423] [,4424] [,4425] [,4426]
   [1,]       1       1       0       0       0       1       0       0       0
   [2,]       1       0       0       1       1       0       1       0       0
   [3,]       1       0       0       0       0       1       1       0       0
   [4,]       0       0       1       0       0       0       1       1       0
   [5,]       0       0       0       1       1       0       1       0       0
   [6,]       0       0       1       0       0       0       0       0       1
   [7,]       0       1       0       1       0       1       0       1       0
   [8,]       0       0       1       0       0       1       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,4427] [,4428] [,4429] [,4430] [,4431] [,4432] [,4433] [,4434] [,4435]
   [1,]       0       0       0       0       1       1       0       0       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       0       1       0       0       1       1       1       0
   [4,]       0       1       0       0       0       0       0       1       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       1       0       0       1       0       0       1       1
   [7,]       0       0       0       1       0       1       1       0       0
   [8,]       1       0       0       0       1       1       1       0       0
   [9,]       0       0       0       1       0       0       0       0       1
  [10,]       1       0       0       0       0       0       0       1       0
        [,4436] [,4437] [,4438] [,4439] [,4440] [,4441] [,4442] [,4443] [,4444]
   [1,]       1       0       1       0       0       1       1       0       1
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       1       1       1       0       0       0       0       0
   [4,]       0       1       0       0       0       1       1       0       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       1       0       1       1       1       0       0
   [8,]       0       0       1       0       0       0       0       1       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,4445] [,4446] [,4447] [,4448] [,4449] [,4450] [,4451] [,4452] [,4453]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       1       0       0       0       0       0       1       0       1
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       0       1       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       0       0       1       1       0
   [9,]       0       1       0       0       0       0       0       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,4454] [,4455] [,4456] [,4457] [,4458] [,4459] [,4460] [,4461] [,4462]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       0       0       1       1       0       1       1
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       0       1       0       0       0       1       0       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       0       0       0       0       1       0       0       1       0
   [9,]       0       1       1       0       1       0       0       0       0
  [10,]       0       0       1       1       0       0       0       0       1
        [,4463] [,4464] [,4465] [,4466] [,4467] [,4468] [,4469] [,4470] [,4471]
   [1,]       1       1       1       1       0       0       0       0       1
   [2,]       0       0       0       0       1       0       0       0       1
   [3,]       0       0       1       0       1       1       0       0       0
   [4,]       0       0       0       1       1       1       0       0       0
   [5,]       0       0       0       1       0       1       0       0       1
   [6,]       0       1       1       0       0       0       1       0       1
   [7,]       0       0       0       0       0       0       1       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       1       0       0       0       0       1       1       0
        [,4472] [,4473] [,4474] [,4475] [,4476] [,4477] [,4478] [,4479] [,4480]
   [1,]       1       0       0       0       1       1       0       0       0
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       1       0       0       0       0       1       1       0       0
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       1       1       0       0       0       0       0       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       0       1       0       0       1       0       0       1
   [8,]       1       0       0       1       0       1       0       0       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       1       0       0       0       1       0       0       0       0
        [,4481] [,4482] [,4483] [,4484] [,4485] [,4486] [,4487] [,4488] [,4489]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       1       0       0       1       0       0       0       1       1
   [3,]       1       0       0       0       1       0       0       0       0
   [4,]       0       1       1       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       1       1       1
   [6,]       0       1       0       1       0       0       1       0       0
   [7,]       1       0       0       1       0       0       1       1       1
   [8,]       0       0       0       1       1       0       0       0       0
   [9,]       0       1       0       0       0       1       0       1       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,4490] [,4491] [,4492] [,4493] [,4494] [,4495] [,4496] [,4497] [,4498]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       0       1       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       1       0       0       0       1       0       0       0       1
   [5,]       0       1       0       1       0       0       0       1       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       0       1       0       0       0       1       0       1       0
        [,4499] [,4500] [,4501] [,4502] [,4503] [,4504] [,4505] [,4506] [,4507]
   [1,]       0       1       1       0       1       0       0       0       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       1       1       0       0       0       0       0       0
   [4,]       1       0       0       0       0       0       0       1       1
   [5,]       0       0       0       1       0       0       0       1       0
   [6,]       0       0       0       1       1       0       1       0       0
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       1       1       0       0       1       1       0       1       1
   [9,]       0       1       0       0       1       0       0       1       1
  [10,]       0       0       0       0       0       0       0       1       1
        [,4508] [,4509] [,4510] [,4511] [,4512] [,4513] [,4514] [,4515] [,4516]
   [1,]       1       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       0       0       0       0       1       1       0
   [4,]       0       0       0       0       1       1       0       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       1       0       0       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       1       1       1       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       1       1       0       1       1       0       0       0       0
        [,4517] [,4518] [,4519] [,4520] [,4521] [,4522] [,4523] [,4524] [,4525]
   [1,]       0       0       1       0       1       0       0       1       0
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       0       0       1       0       0       1       0       0       1
   [4,]       0       0       0       1       0       0       0       0       1
   [5,]       1       0       1       0       1       1       0       0       0
   [6,]       1       1       0       0       1       0       0       0       1
   [7,]       0       1       1       0       0       1       0       1       0
   [8,]       0       0       1       0       0       0       1       1       0
   [9,]       1       1       0       0       0       0       0       0       1
  [10,]       0       1       0       0       0       0       1       1       1
        [,4526] [,4527] [,4528] [,4529] [,4530] [,4531] [,4532] [,4533] [,4534]
   [1,]       0       1       1       0       0       0       0       1       0
   [2,]       0       1       0       0       1       1       0       0       0
   [3,]       0       0       0       0       1       0       1       0       1
   [4,]       1       1       0       0       1       0       1       1       1
   [5,]       0       0       0       0       1       0       1       0       0
   [6,]       0       0       0       0       1       0       0       0       1
   [7,]       1       1       0       0       0       0       0       0       1
   [8,]       1       1       0       0       0       1       0       0       0
   [9,]       0       1       0       0       1       0       1       0       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,4535] [,4536] [,4537] [,4538] [,4539] [,4540] [,4541] [,4542] [,4543]
   [1,]       0       0       0       0       0       1       1       1       0
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       0       0       0       0       1       1       1       1
   [4,]       0       0       0       0       0       0       0       1       1
   [5,]       1       0       0       0       0       0       1       1       0
   [6,]       0       0       0       0       0       0       1       0       1
   [7,]       0       1       0       0       0       1       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       0       1       1       0       1       0       0       1
  [10,]       0       1       0       0       0       1       0       0       0
        [,4544] [,4545] [,4546] [,4547] [,4548] [,4549] [,4550] [,4551] [,4552]
   [1,]       1       0       0       1       0       0       0       0       1
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       0       0       0       0       1       0       1       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       1       0       0       1       0       1       0       1
   [6,]       0       0       0       1       1       0       1       0       0
   [7,]       0       0       1       0       1       0       0       1       1
   [8,]       0       0       0       0       0       1       0       0       1
   [9,]       0       0       0       1       0       0       0       0       1
  [10,]       1       1       0       0       1       1       0       0       0
        [,4553] [,4554] [,4555] [,4556] [,4557] [,4558] [,4559] [,4560] [,4561]
   [1,]       1       0       1       0       0       0       0       0       0
   [2,]       0       0       0       0       0       1       0       0       1
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       1       1       1       0       0       0       1       0       1
   [5,]       1       1       0       0       0       0       0       0       0
   [6,]       1       0       0       1       0       0       1       0       0
   [7,]       0       0       1       1       0       0       1       0       0
   [8,]       0       0       0       1       0       0       0       0       1
   [9,]       0       1       0       0       1       0       1       1       0
  [10,]       1       0       0       0       1       1       0       0       0
        [,4562] [,4563] [,4564] [,4565] [,4566] [,4567] [,4568] [,4569] [,4570]
   [1,]       1       1       0       0       0       0       1       1       0
   [2,]       1       0       1       0       0       0       0       0       1
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       1       0       0       1       1       0
   [6,]       1       0       0       0       0       1       0       1       0
   [7,]       1       0       0       0       0       0       0       1       1
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       1       0       0       1
  [10,]       0       0       0       1       0       0       0       0       0
        [,4571] [,4572] [,4573] [,4574] [,4575] [,4576] [,4577] [,4578] [,4579]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       1       0       1       1       1       0
   [4,]       1       1       0       0       1       1       0       0       1
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       0       0       1       0       1       0       0       0       0
   [7,]       0       1       0       0       0       1       1       1       0
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       1       0       0       0       1       0       0       0       1
  [10,]       0       0       0       1       0       0       0       1       0
        [,4580] [,4581] [,4582] [,4583] [,4584] [,4585] [,4586] [,4587] [,4588]
   [1,]       1       0       0       0       0       0       0       1       0
   [2,]       0       1       0       0       1       0       0       1       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       0       0       1       1       0       1       1       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       1       0       1
   [7,]       1       0       0       0       0       0       0       0       1
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       0       0       1       0       1
  [10,]       0       0       1       1       0       1       0       0       0
        [,4589] [,4590] [,4591] [,4592] [,4593] [,4594] [,4595] [,4596] [,4597]
   [1,]       0       0       0       0       1       1       0       0       0
   [2,]       0       0       1       0       1       0       0       0       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       1       1       0       0       0       0       1       1
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       0       1       0       0       0
   [8,]       0       0       1       1       0       0       1       0       0
   [9,]       0       0       1       0       1       1       0       0       0
  [10,]       1       0       0       1       0       0       0       1       0
        [,4598] [,4599] [,4600] [,4601] [,4602] [,4603] [,4604] [,4605] [,4606]
   [1,]       1       0       0       0       0       1       1       0       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       1       0       1       1       0       1       0       0       1
   [5,]       1       0       0       0       0       0       0       1       1
   [6,]       0       1       1       1       0       0       0       1       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       1       0       0       0       0       0       0       1
        [,4607] [,4608] [,4609] [,4610] [,4611] [,4612] [,4613] [,4614] [,4615]
   [1,]       0       0       0       1       0       0       0       1       1
   [2,]       0       0       1       0       0       0       1       1       0
   [3,]       1       0       0       1       0       1       0       0       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       1       0       0       0       0       0       0       0       1
   [6,]       1       0       1       0       1       0       0       0       1
   [7,]       0       0       0       0       0       0       1       0       1
   [8,]       1       1       0       0       0       1       0       0       0
   [9,]       0       0       1       0       1       1       0       0       0
  [10,]       1       1       0       0       0       0       0       1       0
        [,4616] [,4617] [,4618] [,4619] [,4620] [,4621] [,4622] [,4623] [,4624]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       0       1       0       0       1       1       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       0       1       1       0       0       0       0       1
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       0       1       1       0       1       0       0
   [7,]       0       0       0       1       1       0       0       0       0
   [8,]       0       0       1       1       1       0       1       0       0
   [9,]       0       0       0       0       0       0       1       0       1
  [10,]       0       0       0       0       1       1       0       0       0
        [,4625] [,4626] [,4627] [,4628] [,4629] [,4630] [,4631] [,4632] [,4633]
   [1,]       0       0       1       0       1       0       1       1       1
   [2,]       0       0       1       0       1       0       1       0       0
   [3,]       0       1       0       1       1       0       0       0       0
   [4,]       0       0       0       1       0       0       1       1       0
   [5,]       0       1       0       0       0       0       1       1       0
   [6,]       0       0       1       0       0       1       1       0       0
   [7,]       0       0       0       0       1       0       0       0       1
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       0       0       0       1       1
  [10,]       1       0       0       0       0       0       1       0       1
        [,4634] [,4635] [,4636] [,4637] [,4638] [,4639] [,4640] [,4641] [,4642]
   [1,]       0       0       0       0       1       0       1       1       0
   [2,]       0       0       0       0       0       0       1       1       1
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       1       0       0       0       0       0       0       1       0
   [5,]       0       0       1       0       0       0       0       1       0
   [6,]       0       1       1       0       0       1       1       0       0
   [7,]       0       0       0       0       0       1       0       0       1
   [8,]       0       0       0       0       0       1       1       0       0
   [9,]       0       0       0       1       0       0       0       1       0
  [10,]       0       1       0       0       0       1       0       0       0
        [,4643] [,4644] [,4645] [,4646] [,4647] [,4648] [,4649] [,4650] [,4651]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       0       1       1       0       1
   [3,]       0       1       1       1       0       1       0       1       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       1       0       0       1       0       0       0       0
   [6,]       0       1       0       1       0       1       0       0       0
   [7,]       0       0       1       1       1       1       0       1       0
   [8,]       0       0       0       0       0       1       1       0       1
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       1       0       0       1       1       1
        [,4652] [,4653] [,4654] [,4655] [,4656] [,4657] [,4658] [,4659] [,4660]
   [1,]       0       0       0       0       1       0       0       1       0
   [2,]       0       0       1       0       1       1       1       0       0
   [3,]       1       0       1       0       1       1       1       1       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       0       0       0       0       1       0       0       1
   [6,]       0       1       1       0       1       1       0       0       0
   [7,]       0       0       1       0       0       0       1       0       1
   [8,]       0       1       0       0       0       1       0       1       1
   [9,]       0       1       0       1       1       0       0       1       0
  [10,]       0       1       1       0       0       0       1       0       0
        [,4661] [,4662] [,4663] [,4664] [,4665] [,4666] [,4667] [,4668] [,4669]
   [1,]       0       1       0       0       0       0       1       0       0
   [2,]       1       1       0       0       1       0       0       0       1
   [3,]       1       0       1       0       0       0       0       0       1
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       0       0       1       0       0       0       1       0       1
   [6,]       0       0       1       1       1       0       0       1       0
   [7,]       1       0       0       1       1       0       0       0       0
   [8,]       0       0       1       1       0       0       0       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,4670] [,4671] [,4672] [,4673] [,4674] [,4675] [,4676] [,4677] [,4678]
   [1,]       0       0       1       0       0       0       0       0       1
   [2,]       0       0       0       1       1       0       0       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       1       1       0       0       0       1       1       0
   [5,]       1       0       0       0       0       1       0       0       0
   [6,]       1       0       0       0       1       1       1       0       0
   [7,]       1       0       0       0       1       0       0       0       0
   [8,]       0       0       0       0       0       1       1       0       1
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       1       1       0       0       0       0       0       0       0
        [,4679] [,4680] [,4681] [,4682] [,4683] [,4684] [,4685] [,4686] [,4687]
   [1,]       0       0       0       1       1       0       1       0       1
   [2,]       1       1       0       0       1       1       0       1       0
   [3,]       1       0       0       0       1       0       0       1       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       1       0       0       0       1       1       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       1       1       0       0       0       0       0       0       0
   [8,]       1       0       0       0       1       1       1       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       1       1       0       1       1       0       0       1       0
        [,4688] [,4689] [,4690] [,4691] [,4692] [,4693] [,4694] [,4695] [,4696]
   [1,]       1       0       0       0       0       0       0       0       1
   [2,]       0       0       1       0       1       0       0       1       0
   [3,]       1       0       1       0       0       1       0       1       0
   [4,]       0       1       0       0       1       1       0       0       0
   [5,]       0       1       0       0       1       1       0       0       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       0       0       1       1       0       0       0       0
   [8,]       0       0       0       1       0       0       0       0       1
   [9,]       1       0       0       0       0       0       0       1       0
  [10,]       0       0       0       0       0       1       1       1       0
        [,4697] [,4698] [,4699] [,4700] [,4701] [,4702] [,4703] [,4704] [,4705]
   [1,]       0       0       1       0       0       0       1       0       0
   [2,]       0       1       0       0       0       0       0       1       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       1       0       1       1       1       0       0       0       0
   [6,]       0       0       1       1       0       0       0       0       1
   [7,]       0       0       0       0       1       1       1       0       0
   [8,]       0       0       0       0       1       1       1       0       0
   [9,]       0       0       0       0       0       1       0       0       1
  [10,]       1       0       0       0       0       0       0       0       0
        [,4706] [,4707] [,4708] [,4709] [,4710] [,4711] [,4712] [,4713] [,4714]
   [1,]       0       1       0       0       0       1       0       1       0
   [2,]       0       0       0       0       0       1       1       0       0
   [3,]       0       1       1       1       0       0       0       0       0
   [4,]       1       0       0       0       0       0       1       1       1
   [5,]       0       0       0       0       1       0       0       1       1
   [6,]       0       0       0       1       0       0       1       1       0
   [7,]       0       0       0       1       1       0       0       1       0
   [8,]       1       1       1       0       0       1       0       0       0
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,4715] [,4716] [,4717] [,4718] [,4719] [,4720] [,4721] [,4722] [,4723]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       1       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       0       0       1       0       1       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       0       0       1       0       1
   [8,]       0       1       0       0       0       0       1       1       1
   [9,]       0       0       0       0       0       1       0       1       0
  [10,]       0       1       0       0       0       0       0       0       1
        [,4724] [,4725] [,4726] [,4727] [,4728] [,4729] [,4730] [,4731] [,4732]
   [1,]       0       1       0       0       0       0       0       1       1
   [2,]       0       1       0       0       0       1       0       0       1
   [3,]       0       0       0       0       0       0       0       1       1
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       0       1       1       1       0       1       0       0
   [6,]       1       1       1       0       0       0       0       0       0
   [7,]       0       1       0       0       0       0       1       0       1
   [8,]       1       1       0       0       0       0       0       1       0
   [9,]       0       1       1       1       0       1       0       0       0
  [10,]       0       0       0       0       1       0       0       0       1
        [,4733] [,4734] [,4735] [,4736] [,4737] [,4738] [,4739] [,4740] [,4741]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       1       0       0       0       0       1       0       0       0
   [3,]       1       0       0       0       1       1       0       1       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       1       1       0       0       0       1       1       0       0
   [6,]       1       1       1       0       0       1       0       1       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       1       1       0       1
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,4742] [,4743] [,4744] [,4745] [,4746] [,4747] [,4748] [,4749] [,4750]
   [1,]       0       1       0       0       0       0       1       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       0       0       0       1       1       1       0       1
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       1       1       0       1       0       1       0       1
   [7,]       0       1       0       0       0       1       0       1       0
   [8,]       1       0       0       0       0       0       0       1       0
   [9,]       1       0       0       0       1       0       1       0       1
  [10,]       0       0       1       0       1       1       0       1       0
        [,4751] [,4752] [,4753] [,4754] [,4755] [,4756] [,4757] [,4758] [,4759]
   [1,]       0       1       0       0       0       0       0       1       0
   [2,]       1       1       0       0       0       0       0       0       0
   [3,]       0       1       1       0       0       1       0       0       0
   [4,]       0       1       0       0       1       0       0       1       0
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       0       1       0       0       0       0       0       0       1
   [7,]       0       0       1       1       0       0       0       0       0
   [8,]       0       1       0       1       0       1       0       0       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       1       0       0       0       1       1       1       0
        [,4760] [,4761] [,4762] [,4763] [,4764] [,4765] [,4766] [,4767] [,4768]
   [1,]       0       0       0       0       0       1       1       0       1
   [2,]       0       0       0       1       1       0       0       1       0
   [3,]       0       1       0       1       0       0       0       0       0
   [4,]       1       0       0       1       1       0       0       0       0
   [5,]       1       1       0       0       0       1       1       1       1
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       0       1       1       0       0       0       1       1
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       1       0       0       0       1       1       1
  [10,]       0       0       1       1       1       0       1       1       0
        [,4769] [,4770] [,4771] [,4772] [,4773] [,4774] [,4775] [,4776] [,4777]
   [1,]       0       1       0       0       0       1       1       0       0
   [2,]       1       1       0       1       0       0       0       0       1
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       1       1       1       0       0       0       0       1
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       0       0       0       0       1       1       0       1
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       1       0       1       1       1       0       0       1       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,4778] [,4779] [,4780] [,4781] [,4782] [,4783] [,4784] [,4785] [,4786]
   [1,]       0       0       0       0       0       0       1       1       0
   [2,]       1       0       0       0       0       1       0       1       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       1       0       0       0       0       1       0       0       1
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       1       0       1       0       1       1       0       1       0
   [7,]       0       1       0       0       0       0       0       1       0
   [8,]       1       0       1       0       1       1       0       0       0
   [9,]       1       1       1       0       0       0       0       0       0
  [10,]       1       0       0       1       1       0       1       0       0
        [,4787] [,4788] [,4789] [,4790] [,4791] [,4792] [,4793] [,4794] [,4795]
   [1,]       1       0       0       0       0       0       1       0       0
   [2,]       0       0       1       1       0       0       0       1       1
   [3,]       0       0       0       0       0       0       1       1       0
   [4,]       0       0       1       1       1       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       0       0       1       0       0
   [8,]       0       1       0       0       1       1       1       1       0
   [9,]       1       1       0       0       1       0       0       1       0
  [10,]       0       0       1       0       0       1       1       1       0
        [,4796] [,4797] [,4798] [,4799] [,4800] [,4801] [,4802] [,4803] [,4804]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       0       1       1
   [4,]       0       1       0       0       1       0       1       1       0
   [5,]       0       0       1       1       0       1       0       1       0
   [6,]       1       0       1       0       0       0       1       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       0       0       0       0       0       0       0       1
   [9,]       1       0       1       0       1       1       0       0       1
  [10,]       1       0       0       0       0       0       0       0       0
        [,4805] [,4806] [,4807] [,4808] [,4809] [,4810] [,4811] [,4812] [,4813]
   [1,]       0       1       0       1       0       0       0       0       1
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       0       0       1
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       1       1       1       0
   [6,]       0       1       1       0       0       0       1       1       0
   [7,]       1       1       0       0       0       0       0       0       1
   [8,]       0       1       1       1       0       1       1       0       0
   [9,]       0       0       0       0       0       1       0       1       0
  [10,]       0       1       1       1       1       1       0       1       1
        [,4814] [,4815] [,4816] [,4817] [,4818] [,4819] [,4820] [,4821] [,4822]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       1       0       0       1       0       1       0       0
   [3,]       1       1       0       0       1       1       1       1       0
   [4,]       0       0       0       0       0       0       0       1       1
   [5,]       1       1       0       1       0       0       0       0       0
   [6,]       0       0       0       0       0       1       0       1       1
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       0       0       0       0       0       1       0       1
   [9,]       0       1       0       0       1       0       0       0       0
  [10,]       0       1       0       0       0       1       0       0       0
        [,4823] [,4824] [,4825] [,4826] [,4827] [,4828] [,4829] [,4830] [,4831]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       1       1       1       0       0       0       0       0
   [3,]       1       0       0       1       0       0       0       0       1
   [4,]       1       0       0       0       0       1       1       0       1
   [5,]       0       0       1       1       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       0       1       0       1       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       1       0       0       0       1       0       0       1
  [10,]       0       0       0       0       0       0       1       0       0
        [,4832] [,4833] [,4834] [,4835] [,4836] [,4837] [,4838] [,4839] [,4840]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       1       0       0       0       0       0       0       1       0
   [3,]       0       1       0       0       1       1       1       0       0
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       0       0       0       0       1       1       0       0       1
   [7,]       1       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       1       0       0       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       1       0       1       1       0       1       0       0       1
        [,4841] [,4842] [,4843] [,4844] [,4845] [,4846] [,4847] [,4848] [,4849]
   [1,]       0       1       0       1       1       0       0       0       1
   [2,]       1       1       1       1       1       0       0       0       0
   [3,]       1       0       0       1       0       0       1       1       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       1       0       0       0       0       0       0       0
   [6,]       1       0       0       1       1       0       0       0       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       1       0       1       1       1       1       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       0       0       1       1       0       0       1
        [,4850] [,4851] [,4852] [,4853] [,4854] [,4855] [,4856] [,4857] [,4858]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       1       0       0       0       0       0       0       1       1
   [3,]       1       1       0       1       0       0       0       0       1
   [4,]       0       1       0       1       0       0       0       1       1
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       1       1       0       1       0
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       0       1       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,4859] [,4860] [,4861] [,4862] [,4863] [,4864] [,4865] [,4866] [,4867]
   [1,]       1       0       0       0       0       0       0       1       0
   [2,]       0       1       0       1       0       0       1       0       0
   [3,]       1       1       1       0       0       0       0       1       0
   [4,]       0       0       0       1       0       1       0       0       1
   [5,]       0       0       0       0       0       1       0       0       1
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       1       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       1       0       0       1       0
   [9,]       0       1       0       1       0       1       0       0       1
  [10,]       1       1       1       1       0       1       0       0       0
        [,4868] [,4869] [,4870] [,4871] [,4872] [,4873] [,4874] [,4875] [,4876]
   [1,]       0       0       1       0       0       1       0       1       0
   [2,]       0       1       0       0       1       0       0       0       0
   [3,]       0       0       0       1       0       1       0       1       0
   [4,]       0       1       0       1       0       0       0       0       1
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       1       0       1       1       0       0       0
   [7,]       0       0       0       1       0       0       0       0       1
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       1       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,4877] [,4878] [,4879] [,4880] [,4881] [,4882] [,4883] [,4884] [,4885]
   [1,]       0       0       0       1       0       0       0       1       0
   [2,]       1       0       0       0       0       1       1       0       1
   [3,]       0       0       0       0       1       1       1       0       0
   [4,]       1       0       0       1       0       1       0       0       0
   [5,]       0       1       1       0       0       0       0       0       0
   [6,]       0       0       0       0       0       1       0       1       1
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       0       0       0       0       1       1       0       0       1
   [9,]       1       1       0       0       0       0       0       1       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,4886] [,4887] [,4888] [,4889] [,4890] [,4891] [,4892] [,4893] [,4894]
   [1,]       1       0       0       0       1       1       0       1       0
   [2,]       0       0       1       1       1       1       0       0       1
   [3,]       0       1       0       1       0       0       1       1       0
   [4,]       0       0       1       1       0       1       0       1       0
   [5,]       0       1       0       0       1       1       0       1       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       1       1       0       0       0       0       0       0       1
   [9,]       0       0       1       0       0       1       1       0       0
  [10,]       0       0       1       0       1       0       0       0       1
        [,4895] [,4896] [,4897] [,4898] [,4899] [,4900] [,4901] [,4902] [,4903]
   [1,]       1       0       1       0       0       0       0       0       1
   [2,]       0       0       0       0       0       0       1       0       1
   [3,]       1       0       0       0       0       1       0       0       1
   [4,]       1       0       0       0       1       1       1       1       1
   [5,]       0       0       1       0       0       1       0       1       0
   [6,]       1       1       0       0       1       0       1       0       0
   [7,]       0       0       0       0       0       1       0       1       0
   [8,]       1       0       0       0       1       1       0       1       0
   [9,]       0       0       1       1       0       1       0       0       1
  [10,]       0       1       0       0       0       0       0       1       1
        [,4904] [,4905] [,4906] [,4907] [,4908] [,4909] [,4910] [,4911] [,4912]
   [1,]       0       0       0       0       0       1       0       0       1
   [2,]       1       0       0       0       0       0       0       0       1
   [3,]       0       0       1       0       0       0       0       0       1
   [4,]       0       0       1       0       1       0       1       0       1
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       1       0       1       0       0       0       1       0       0
   [7,]       0       1       0       0       1       0       1       0       0
   [8,]       0       0       0       1       1       0       0       1       1
   [9,]       1       1       0       0       1       0       1       0       0
  [10,]       1       0       1       1       0       0       0       0       1
        [,4913] [,4914] [,4915] [,4916] [,4917] [,4918] [,4919] [,4920] [,4921]
   [1,]       0       1       0       0       0       0       1       0       0
   [2,]       1       1       0       0       1       0       0       0       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       1       1       0       1       0       0       1       1       0
   [5,]       0       1       0       0       0       1       1       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       1       1       1       1       0       1       1       0       0
   [8,]       0       0       1       0       1       1       0       0       1
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       1       0       0       0       1       0       0       0       0
        [,4922] [,4923] [,4924] [,4925] [,4926] [,4927] [,4928] [,4929] [,4930]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       1       1       0       0       0       0       1       0
   [3,]       0       0       0       0       1       1       1       1       0
   [4,]       0       0       0       1       1       0       1       1       0
   [5,]       0       0       1       1       1       0       1       0       0
   [6,]       0       0       1       0       1       0       0       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       1       1       0       0       0       0       1       0       0
   [9,]       0       0       1       0       1       0       0       0       0
  [10,]       1       0       0       0       0       0       0       0       0
        [,4931] [,4932] [,4933] [,4934] [,4935] [,4936] [,4937] [,4938] [,4939]
   [1,]       1       0       1       0       0       0       0       0       0
   [2,]       0       0       1       1       1       0       0       0       0
   [3,]       1       0       1       0       1       0       0       1       0
   [4,]       0       1       0       1       1       1       0       0       0
   [5,]       0       1       1       0       0       0       1       0       0
   [6,]       0       0       0       0       0       0       1       0       1
   [7,]       1       0       0       0       0       0       1       0       0
   [8,]       0       1       1       0       0       0       0       0       0
   [9,]       0       1       0       1       1       0       1       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,4940] [,4941] [,4942] [,4943] [,4944] [,4945] [,4946] [,4947] [,4948]
   [1,]       0       0       1       0       0       0       0       0       1
   [2,]       1       0       1       0       0       0       0       0       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       1       0       0       1       0       0       0       0       0
   [5,]       0       0       0       1       0       1       0       0       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       0       0       0       1       1       1       0       0
   [8,]       0       1       1       0       0       0       0       0       0
   [9,]       1       0       0       1       0       0       1       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,4949] [,4950] [,4951] [,4952] [,4953] [,4954] [,4955] [,4956] [,4957]
   [1,]       0       0       0       0       1       0       1       0       0
   [2,]       0       0       0       0       0       1       0       0       1
   [3,]       0       1       1       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       1       1       0
   [6,]       1       0       1       0       0       0       1       0       0
   [7,]       0       0       1       0       1       0       0       1       0
   [8,]       0       0       0       1       1       1       1       0       0
   [9,]       1       0       1       1       1       0       0       0       1
  [10,]       0       0       0       0       1       0       0       1       0
        [,4958] [,4959] [,4960] [,4961] [,4962] [,4963] [,4964] [,4965] [,4966]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       0       1       0       1       0       0       1
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       0       0       0       0       0       0       1       1
   [8,]       0       0       0       1       1       0       0       0       0
   [9,]       0       1       0       0       1       0       0       0       0
  [10,]       1       1       0       0       0       0       0       0       0
        [,4967] [,4968] [,4969] [,4970] [,4971] [,4972] [,4973] [,4974] [,4975]
   [1,]       0       0       1       1       0       1       0       0       1
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       1       0       1       0       0       0       1       0       1
   [4,]       0       0       0       0       0       1       1       1       0
   [5,]       0       1       0       1       1       0       0       0       1
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       1       0       0       1       0       0       0       1       0
   [9,]       0       0       0       1       0       0       1       0       1
  [10,]       0       0       1       0       1       1       1       0       1
        [,4976] [,4977] [,4978] [,4979] [,4980] [,4981] [,4982] [,4983] [,4984]
   [1,]       0       1       1       0       0       0       0       1       0
   [2,]       0       0       1       1       1       0       0       1       0
   [3,]       0       0       1       0       0       0       0       0       1
   [4,]       0       0       0       1       1       0       0       1       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       1       1       1       0       1       1       0
   [7,]       0       1       0       1       0       0       1       0       0
   [8,]       0       0       0       1       0       1       0       0       0
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       1       0       0       1
        [,4985] [,4986] [,4987] [,4988] [,4989] [,4990] [,4991] [,4992] [,4993]
   [1,]       0       0       0       1       0       0       1       0       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       1       0       0       0       1       1       0       0       0
   [4,]       0       1       1       0       0       1       0       1       1
   [5,]       0       1       0       0       0       1       0       0       0
   [6,]       1       0       0       0       0       0       1       1       0
   [7,]       0       1       0       0       1       0       0       0       0
   [8,]       0       0       0       0       0       1       1       0       1
   [9,]       1       0       1       1       0       0       0       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,4994] [,4995] [,4996] [,4997] [,4998] [,4999] [,5000] [,5001] [,5002]
   [1,]       0       1       0       0       0       1       0       0       0
   [2,]       0       0       0       1       1       0       0       1       0
   [3,]       0       1       0       0       0       0       0       0       1
   [4,]       0       0       0       0       1       1       0       0       0
   [5,]       0       1       0       0       1       0       0       0       0
   [6,]       1       0       1       1       0       0       0       1       0
   [7,]       1       0       1       0       1       1       1       0       0
   [8,]       1       0       0       1       0       0       1       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,5003] [,5004] [,5005] [,5006] [,5007] [,5008] [,5009] [,5010] [,5011]
   [1,]       1       0       0       1       0       0       0       1       1
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       1       0       0       1       0
   [5,]       1       1       0       0       0       0       1       1       1
   [6,]       0       0       1       1       0       0       0       1       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       1       0       1       0       0       1       0       0       0
   [9,]       0       0       0       0       1       1       1       0       0
  [10,]       1       0       0       0       0       0       0       0       0
        [,5012] [,5013] [,5014] [,5015] [,5016] [,5017] [,5018] [,5019] [,5020]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       0       0       0       0       1       0       0       1
   [4,]       1       0       0       0       1       0       1       0       0
   [5,]       1       0       0       0       1       0       0       0       1
   [6,]       0       0       1       0       1       1       0       1       0
   [7,]       1       0       1       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       1       1       0       1       0       0       1       0       0
  [10,]       0       0       0       0       0       0       1       0       1
        [,5021] [,5022] [,5023] [,5024] [,5025] [,5026] [,5027] [,5028] [,5029]
   [1,]       0       0       1       0       0       0       1       0       1
   [2,]       0       0       1       0       1       0       1       1       0
   [3,]       0       1       1       0       1       0       0       0       0
   [4,]       1       1       0       0       0       1       1       0       0
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       1       0       0       0       1       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       0       1       1       0       0       0       0
   [9,]       1       0       0       1       0       0       0       1       0
  [10,]       1       1       1       0       0       0       0       1       1
        [,5030] [,5031] [,5032] [,5033] [,5034] [,5035] [,5036] [,5037] [,5038]
   [1,]       0       0       0       0       0       0       1       1       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       1       0       0       1       0       0
   [4,]       0       1       1       0       0       0       0       0       0
   [5,]       0       0       0       0       0       1       1       1       1
   [6,]       1       0       0       0       0       0       0       1       0
   [7,]       0       0       0       1       0       0       1       1       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,5039] [,5040] [,5041] [,5042] [,5043] [,5044] [,5045] [,5046] [,5047]
   [1,]       1       0       0       1       0       0       0       0       1
   [2,]       0       1       1       1       0       1       1       0       0
   [3,]       0       1       0       0       0       0       0       1       1
   [4,]       0       1       1       0       0       0       1       0       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       1       0       0       1
   [8,]       1       0       0       0       0       0       1       1       1
   [9,]       1       0       1       0       0       0       0       1       1
  [10,]       1       0       0       0       1       0       0       0       1
        [,5048] [,5049] [,5050] [,5051] [,5052] [,5053] [,5054] [,5055] [,5056]
   [1,]       1       0       1       0       0       0       0       1       1
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       1       0       0       0       0       0       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       1       1       0       0       0       0       1       0       0
   [7,]       0       0       1       0       0       0       1       0       0
   [8,]       0       0       1       1       1       1       0       0       1
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       1       1       0
        [,5057] [,5058] [,5059] [,5060] [,5061] [,5062] [,5063] [,5064] [,5065]
   [1,]       0       0       1       0       0       0       1       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       1       1       0       1       1       1       1       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       0       1       0       0
   [6,]       0       0       1       1       1       0       1       0       0
   [7,]       1       1       0       0       0       0       0       1       0
   [8,]       0       0       0       0       0       0       0       1       1
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       1       0       0       0       0       1       0       0
        [,5066] [,5067] [,5068] [,5069] [,5070] [,5071] [,5072] [,5073] [,5074]
   [1,]       0       0       1       1       0       1       0       0       0
   [2,]       0       0       0       1       0       0       0       1       1
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       1       0       1       0       0       0       1       1       0
   [5,]       0       1       0       0       0       0       1       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       1       0       1       0       1       0       0       1
   [9,]       1       1       0       0       0       0       0       1       0
  [10,]       0       1       0       0       0       1       0       1       0
        [,5075] [,5076] [,5077] [,5078] [,5079] [,5080] [,5081] [,5082] [,5083]
   [1,]       1       0       0       1       0       1       1       1       0
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       1       0       1       0       0
   [7,]       0       0       1       0       0       1       0       0       0
   [8,]       1       0       1       0       0       0       0       0       0
   [9,]       0       0       0       1       0       1       0       0       0
  [10,]       0       0       1       0       1       1       1       0       1
        [,5084] [,5085] [,5086] [,5087] [,5088] [,5089] [,5090] [,5091] [,5092]
   [1,]       0       0       0       0       0       0       0       1       1
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       1       0       0       0       1       0       0       0
   [5,]       1       0       0       1       0       0       0       0       1
   [6,]       0       0       0       0       1       0       1       0       0
   [7,]       1       0       0       0       0       0       0       1       0
   [8,]       0       0       0       1       0       1       0       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       1       0       1       0       0       0       1
        [,5093] [,5094] [,5095] [,5096] [,5097] [,5098] [,5099] [,5100] [,5101]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       1       0       0       0       0       0       0       0       1
   [3,]       0       0       0       1       0       0       0       0       1
   [4,]       0       0       0       1       1       1       1       0       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       1       0       0       1       0       0       0       0
   [9,]       1       0       0       0       1       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,5102] [,5103] [,5104] [,5105] [,5106] [,5107] [,5108] [,5109] [,5110]
   [1,]       1       0       0       1       1       0       0       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       1       0       0       0       0       0       1       0
   [4,]       1       0       0       0       0       1       0       0       1
   [5,]       0       0       0       1       0       1       0       0       1
   [6,]       0       0       1       0       0       1       0       0       0
   [7,]       0       0       0       1       0       0       1       1       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       1       0       1       0       1       1       0
        [,5111] [,5112] [,5113] [,5114] [,5115] [,5116] [,5117] [,5118] [,5119]
   [1,]       0       0       1       1       0       0       0       0       0
   [2,]       0       0       0       1       1       1       0       1       1
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       0       0       0       0       1       0       0       1
   [5,]       1       1       0       0       0       0       1       0       0
   [6,]       0       0       0       1       0       1       0       1       1
   [7,]       1       1       0       0       1       1       0       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       1       0       0       0       1       0       1       0       0
        [,5120] [,5121] [,5122] [,5123] [,5124] [,5125] [,5126] [,5127] [,5128]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       1       0       0       0       0       0       1       1
   [3,]       0       0       0       0       1       0       1       1       0
   [4,]       0       1       1       0       0       1       1       1       1
   [5,]       0       0       1       1       0       1       0       1       1
   [6,]       0       1       1       1       0       0       0       0       1
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       1       0       1       1       1       0       1       0       0
   [9,]       0       0       0       1       0       0       0       1       0
  [10,]       1       0       1       0       0       0       0       0       0
        [,5129] [,5130] [,5131] [,5132] [,5133] [,5134] [,5135] [,5136] [,5137]
   [1,]       0       1       1       0       1       0       0       0       0
   [2,]       0       0       0       1       0       0       0       0       1
   [3,]       1       0       0       0       0       1       0       0       1
   [4,]       0       0       0       1       0       0       0       1       0
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       0       1       0       0       1
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       1       0       0       0       0       1       0       0       0
  [10,]       0       0       1       0       0       1       0       0       0
        [,5138] [,5139] [,5140] [,5141] [,5142] [,5143] [,5144] [,5145] [,5146]
   [1,]       0       0       1       0       0       0       1       1       0
   [2,]       0       0       1       0       0       0       1       0       0
   [3,]       0       0       0       1       1       0       1       1       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       1       1       1       0       0       0
   [7,]       0       1       0       0       0       0       1       1       1
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       0       0       1       0       0       1       0       0
  [10,]       1       0       0       0       0       0       0       1       0
        [,5147] [,5148] [,5149] [,5150] [,5151] [,5152] [,5153] [,5154] [,5155]
   [1,]       0       0       0       1       1       1       0       1       1
   [2,]       0       0       1       0       1       0       0       0       0
   [3,]       0       1       0       0       0       0       0       0       1
   [4,]       0       0       0       0       1       0       0       0       1
   [5,]       0       0       0       0       1       0       0       0       1
   [6,]       0       0       0       0       0       1       0       0       1
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       1       0       1       1       0       0       0       0
   [9,]       1       0       1       0       0       0       0       0       0
  [10,]       0       1       1       0       0       0       0       0       0
        [,5156] [,5157] [,5158] [,5159] [,5160] [,5161] [,5162] [,5163] [,5164]
   [1,]       0       0       0       0       1       0       0       1       0
   [2,]       0       1       0       0       0       1       0       0       0
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       0       0       0       1       0       1       1       1       0
   [5,]       0       0       0       0       1       0       1       1       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       0       0       1       1       0       0       0       1       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       1       1       0       1       0       0       0
        [,5165] [,5166] [,5167] [,5168] [,5169] [,5170] [,5171] [,5172] [,5173]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       1       0       0       0       0       0       1
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       1       0       0       0       1       0       1       0
   [8,]       0       1       0       1       0       0       1       1       0
   [9,]       0       1       1       0       0       1       0       1       0
  [10,]       1       0       0       1       0       0       0       0       0
        [,5174] [,5175] [,5176] [,5177] [,5178] [,5179] [,5180] [,5181] [,5182]
   [1,]       1       1       0       0       0       0       0       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       1       0       0       0       0       1       0       0       0
   [5,]       1       0       0       0       0       0       0       1       0
   [6,]       0       0       1       1       1       0       1       0       0
   [7,]       1       1       0       1       0       0       0       0       1
   [8,]       0       1       0       0       0       0       1       0       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       0       1       0       0       1       0       0       0
        [,5183] [,5184] [,5185] [,5186] [,5187] [,5188] [,5189] [,5190] [,5191]
   [1,]       1       0       0       1       0       0       1       1       0
   [2,]       1       1       0       0       0       0       1       1       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       1       0       1       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       0       0       0       0       1       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       0       0       1       0       0       0       0
   [9,]       0       1       0       0       1       0       1       0       0
  [10,]       0       1       0       1       1       0       0       0       1
        [,5192] [,5193] [,5194] [,5195] [,5196] [,5197] [,5198] [,5199] [,5200]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       1
   [4,]       0       0       1       0       0       1       0       1       1
   [5,]       0       0       0       0       0       0       1       1       1
   [6,]       1       0       1       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       1       0       0       1       1       1
   [9,]       0       1       1       1       0       1       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,5201] [,5202] [,5203] [,5204] [,5205] [,5206] [,5207] [,5208] [,5209]
   [1,]       1       1       1       0       0       0       0       1       0
   [2,]       0       0       0       1       0       0       0       0       1
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       0       1       1       0       0       1       0       0       0
   [5,]       0       0       1       0       1       0       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       1       0       0       1       0
   [8,]       0       1       0       0       1       1       1       0       0
   [9,]       0       0       1       1       0       1       0       0       0
  [10,]       0       0       0       1       0       0       0       0       1
        [,5210] [,5211] [,5212] [,5213] [,5214] [,5215] [,5216] [,5217] [,5218]
   [1,]       0       1       1       0       1       0       0       0       0
   [2,]       0       0       0       1       0       1       0       0       0
   [3,]       0       1       0       0       0       0       1       0       0
   [4,]       0       0       0       1       0       1       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       1       1       1       0       0       1       0
   [7,]       1       0       0       0       1       0       0       1       1
   [8,]       1       0       1       1       1       1       0       0       0
   [9,]       0       1       0       0       0       0       1       0       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,5219] [,5220] [,5221] [,5222] [,5223] [,5224] [,5225] [,5226] [,5227]
   [1,]       1       0       1       0       1       0       0       0       0
   [2,]       0       0       1       0       1       0       0       0       0
   [3,]       0       0       0       1       0       1       0       1       1
   [4,]       0       0       1       0       0       0       0       1       0
   [5,]       0       0       0       1       0       1       0       0       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       1       0       0       0       1       0       0       1
   [8,]       0       0       0       0       1       1       1       0       0
   [9,]       1       0       1       0       0       0       0       0       1
  [10,]       1       0       0       0       0       0       0       0       0
        [,5228] [,5229] [,5230] [,5231] [,5232] [,5233] [,5234] [,5235] [,5236]
   [1,]       1       0       1       0       0       0       0       0       1
   [2,]       0       1       1       0       1       0       0       1       0
   [3,]       0       1       1       1       0       1       1       0       0
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       0       1       0       0       0       0       0       0       1
   [7,]       1       1       0       1       0       0       0       0       0
   [8,]       1       0       0       0       0       0       0       0       1
   [9,]       0       1       0       0       0       0       0       1       1
  [10,]       0       0       0       1       0       0       0       0       1
        [,5237] [,5238] [,5239] [,5240] [,5241] [,5242] [,5243] [,5244] [,5245]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       0       0       1       1       1       0       0       0       0
   [4,]       0       0       1       0       0       0       0       1       1
   [5,]       0       0       0       1       1       1       0       0       1
   [6,]       0       0       0       0       0       1       1       0       1
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       0       1       1       0       0
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       0       1       0       1       0       0       0       0       0
        [,5246] [,5247] [,5248] [,5249] [,5250] [,5251] [,5252] [,5253] [,5254]
   [1,]       1       0       0       0       0       1       0       0       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       0       0       0       0       1       0       1       0       0
   [5,]       0       0       0       1       1       1       0       0       0
   [6,]       0       0       1       1       0       0       0       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       1       0       1       0       0       0       0       1
   [9,]       1       0       0       0       1       0       1       0       0
  [10,]       0       0       1       0       0       1       0       0       1
        [,5255] [,5256] [,5257] [,5258] [,5259] [,5260] [,5261] [,5262] [,5263]
   [1,]       1       1       0       0       0       0       1       0       1
   [2,]       1       1       1       1       0       0       1       0       0
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       1       0       1       0       1       1       0       1       0
   [6,]       0       0       1       1       0       0       0       0       0
   [7,]       1       0       1       0       0       0       1       1       1
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       0       0       0       1       1       0       0       0
  [10,]       1       1       1       0       0       1       1       1       0
        [,5264] [,5265] [,5266] [,5267] [,5268] [,5269] [,5270] [,5271] [,5272]
   [1,]       0       1       0       1       1       0       0       0       0
   [2,]       0       0       0       1       0       0       1       0       0
   [3,]       1       0       0       0       0       1       0       1       0
   [4,]       1       1       1       0       1       0       0       0       1
   [5,]       0       0       1       0       1       0       0       0       1
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       0       0       1       0       0       1       0       1       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,5273] [,5274] [,5275] [,5276] [,5277] [,5278] [,5279] [,5280] [,5281]
   [1,]       0       1       1       0       0       0       0       0       0
   [2,]       0       0       0       1       1       0       0       0       0
   [3,]       0       1       0       1       1       0       0       0       0
   [4,]       0       1       0       0       0       0       1       0       0
   [5,]       1       1       0       0       1       0       1       0       0
   [6,]       0       0       1       0       1       0       0       0       0
   [7,]       0       0       0       0       1       1       0       0       0
   [8,]       0       0       1       1       0       0       1       1       1
   [9,]       1       0       1       0       0       0       0       0       0
  [10,]       0       1       0       1       0       0       0       0       1
        [,5282] [,5283] [,5284] [,5285] [,5286] [,5287] [,5288] [,5289] [,5290]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       1       1       0       0       0       0       0       1       0
   [3,]       1       0       1       0       1       0       0       0       1
   [4,]       0       0       1       1       0       0       0       0       0
   [5,]       0       0       1       1       0       1       0       0       0
   [6,]       0       1       0       0       1       1       0       1       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       0       1       1       1       0       0       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       0       0       0       1       0       0       1
        [,5291] [,5292] [,5293] [,5294] [,5295] [,5296] [,5297] [,5298] [,5299]
   [1,]       0       0       0       0       1       0       1       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       1
   [4,]       0       1       0       1       0       0       0       0       1
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       1       0       0       0       0       0       1       1
   [8,]       0       0       0       0       1       1       0       0       1
   [9,]       0       1       1       1       1       1       0       0       0
  [10,]       0       0       0       0       1       1       0       0       1
        [,5300] [,5301] [,5302] [,5303] [,5304] [,5305] [,5306] [,5307] [,5308]
   [1,]       0       0       1       0       0       1       1       0       0
   [2,]       1       0       0       0       1       0       0       0       0
   [3,]       1       0       1       0       1       0       0       0       1
   [4,]       0       1       0       1       1       1       0       0       1
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       0       0       1       1       0       0       0       0
   [7,]       0       0       0       0       0       1       0       1       1
   [8,]       0       0       0       0       0       1       1       0       0
   [9,]       0       0       0       1       1       1       1       1       0
  [10,]       0       1       1       0       0       0       0       0       1
        [,5309] [,5310] [,5311] [,5312] [,5313] [,5314] [,5315] [,5316] [,5317]
   [1,]       0       0       0       0       0       0       1       1       1
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       1       0       1
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       0       0       1       1       1       0       0
   [6,]       0       0       1       0       0       0       0       0       1
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       1       0       0       1       0       0       0       0       0
   [9,]       0       0       0       1       0       0       0       0       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,5318] [,5319] [,5320] [,5321] [,5322] [,5323] [,5324] [,5325] [,5326]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       1       1       1       0       0       0       0       0
   [3,]       0       0       0       0       1       1       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       1       0       0       0       0       0       0
   [6,]       1       1       1       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       1       0       0       0       0
  [10,]       1       1       0       0       1       0       0       0       0
        [,5327] [,5328] [,5329] [,5330] [,5331] [,5332] [,5333] [,5334] [,5335]
   [1,]       0       1       0       1       0       0       0       1       0
   [2,]       0       1       0       1       0       0       1       0       1
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       1       1       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       1       0       1       1
   [6,]       1       1       0       0       0       0       0       1       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       1       0       1       0       0       0       0       1
   [9,]       1       0       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       1       0       1       0
        [,5336] [,5337] [,5338] [,5339] [,5340] [,5341] [,5342] [,5343] [,5344]
   [1,]       0       0       0       0       0       0       1       1       0
   [2,]       1       0       1       1       1       0       1       1       0
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       0       0       1       0       0       0       1       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       1       0       1       0       0       1       0
   [7,]       0       0       0       1       0       0       1       1       1
   [8,]       0       1       0       0       1       0       1       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       1       1       0       0       1       0       0
        [,5345] [,5346] [,5347] [,5348] [,5349] [,5350] [,5351] [,5352] [,5353]
   [1,]       1       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       1       0       1       0       0
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       1       1       0       0       0       1       0       0       1
   [5,]       1       0       0       0       0       0       0       0       1
   [6,]       0       0       0       1       1       1       0       1       0
   [7,]       0       0       0       1       1       0       1       0       0
   [8,]       0       0       1       0       0       1       0       0       1
   [9,]       1       0       1       1       1       0       0       0       0
  [10,]       0       1       1       1       0       0       0       0       1
        [,5354] [,5355] [,5356] [,5357] [,5358] [,5359] [,5360] [,5361] [,5362]
   [1,]       1       1       1       0       1       0       0       1       1
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       1       0       0       1       0       1       0       0       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       1       0       0       0       1       1       1       0       0
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       1       0       0       0       0       1       1       0       0
   [9,]       0       0       1       0       1       1       1       1       0
  [10,]       0       0       0       0       0       0       1       1       0
        [,5363] [,5364] [,5365] [,5366] [,5367] [,5368] [,5369] [,5370] [,5371]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       0       1       0       0       1       0       0       0
   [3,]       0       0       1       1       0       0       0       0       1
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       1       1       1       0       0       0       0       0
   [6,]       0       0       0       0       0       1       1       1       0
   [7,]       0       1       1       0       1       1       0       0       0
   [8,]       0       0       0       0       0       0       0       1       1
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       0       1       1       0       0       0       0       0
        [,5372] [,5373] [,5374] [,5375] [,5376] [,5377] [,5378] [,5379] [,5380]
   [1,]       0       0       0       0       1       1       0       0       1
   [2,]       0       0       0       1       0       0       0       1       0
   [3,]       0       0       1       0       1       0       0       1       0
   [4,]       0       1       0       0       0       0       0       0       1
   [5,]       0       0       0       0       0       0       1       0       1
   [6,]       0       0       0       0       0       1       0       0       1
   [7,]       0       0       0       0       1       1       0       1       1
   [8,]       1       1       0       0       1       0       0       1       0
   [9,]       0       0       1       0       0       0       1       1       0
  [10,]       1       1       1       0       0       1       1       0       0
        [,5381] [,5382] [,5383] [,5384] [,5385] [,5386] [,5387] [,5388] [,5389]
   [1,]       0       1       0       0       0       0       1       0       0
   [2,]       0       0       1       0       0       0       0       1       0
   [3,]       1       0       1       1       0       0       1       1       0
   [4,]       0       0       1       1       1       0       1       1       0
   [5,]       0       1       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       1       0       1       0       0       0       0
   [8,]       0       0       0       1       0       0       1       0       0
   [9,]       0       0       0       0       1       0       0       1       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,5390] [,5391] [,5392] [,5393] [,5394] [,5395] [,5396] [,5397] [,5398]
   [1,]       0       0       0       0       1       0       1       0       1
   [2,]       0       1       0       0       0       0       0       1       0
   [3,]       1       0       1       0       0       0       0       1       0
   [4,]       1       0       0       1       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       1       0       1       0       0       0       0       1
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       1       0       0       1       0       1       0       0       0
  [10,]       1       1       1       0       0       0       1       1       0
        [,5399] [,5400] [,5401] [,5402] [,5403] [,5404] [,5405] [,5406] [,5407]
   [1,]       0       0       0       0       0       0       1       1       1
   [2,]       0       1       0       0       1       0       1       0       0
   [3,]       0       0       0       1       0       1       0       0       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       1       1       0       0       0       0       1       0
   [6,]       0       0       0       0       1       0       0       0       1
   [7,]       0       1       0       0       1       1       0       0       0
   [8,]       0       1       0       0       0       1       1       0       0
   [9,]       1       0       0       0       1       1       0       0       1
  [10,]       0       0       0       1       0       1       0       0       0
        [,5408] [,5409] [,5410] [,5411] [,5412] [,5413] [,5414] [,5415] [,5416]
   [1,]       0       0       0       0       0       1       0       1       0
   [2,]       0       1       1       0       1       1       0       0       0
   [3,]       0       0       1       1       0       1       0       0       1
   [4,]       0       0       0       0       0       1       0       1       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       0       0       0       0       0       0       1       1
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       1       0       0       0       0       1       0       0
  [10,]       0       0       0       0       0       0       1       0       1
        [,5417] [,5418] [,5419] [,5420] [,5421] [,5422] [,5423] [,5424] [,5425]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       1       1       0       0       1
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       1       1       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       1       0       0       1       0       0       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       0       0       1       0       0       0       0       1
  [10,]       1       1       0       0       1       0       0       0       0
        [,5426] [,5427] [,5428] [,5429] [,5430] [,5431] [,5432] [,5433] [,5434]
   [1,]       1       0       0       0       1       0       0       0       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       1       0       0       1       1       0       0       1
   [5,]       0       1       0       0       0       0       1       0       0
   [6,]       0       1       1       0       0       1       0       1       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       1       0       1       1       0       0       0
   [9,]       0       1       1       0       0       1       0       0       0
  [10,]       0       0       0       0       1       0       0       0       1
        [,5435] [,5436] [,5437] [,5438] [,5439] [,5440] [,5441] [,5442] [,5443]
   [1,]       0       0       0       0       0       1       0       1       0
   [2,]       1       1       1       0       1       1       0       0       0
   [3,]       0       1       0       1       1       0       1       0       0
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       1       1       1       0       0       0       1       0       0
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       1       0       0       1       0       0       0       0
        [,5444] [,5445] [,5446] [,5447] [,5448] [,5449] [,5450] [,5451] [,5452]
   [1,]       1       0       1       1       0       1       0       1       0
   [2,]       0       1       0       0       1       0       0       0       0
   [3,]       0       0       0       0       1       0       0       0       1
   [4,]       0       1       0       0       1       1       0       0       0
   [5,]       1       1       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       1       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       1
        [,5453] [,5454] [,5455] [,5456] [,5457] [,5458] [,5459] [,5460] [,5461]
   [1,]       1       0       0       1       0       0       1       0       0
   [2,]       0       0       0       0       0       0       1       1       0
   [3,]       0       0       1       1       1       0       0       1       0
   [4,]       0       0       1       0       1       0       0       0       0
   [5,]       0       0       1       1       0       0       0       0       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       1       0       1       1       0       0       1       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       1       1       0       0       0       1       0       0
        [,5462] [,5463] [,5464] [,5465] [,5466] [,5467] [,5468] [,5469] [,5470]
   [1,]       0       0       0       1       0       0       1       0       0
   [2,]       1       0       0       0       0       0       0       0       1
   [3,]       0       0       0       0       0       1       1       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       1       0       0       1
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       1       0       1       1       0       1       1       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       1       0       1       1       0       0       0       0       0
        [,5471] [,5472] [,5473] [,5474] [,5475] [,5476] [,5477] [,5478] [,5479]
   [1,]       1       0       1       1       0       0       1       1       0
   [2,]       1       0       0       0       1       0       0       0       0
   [3,]       0       0       0       0       1       0       1       0       0
   [4,]       0       1       0       0       0       1       0       0       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       0       0       0       1       0       1       1       1
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       1       0       0       0       0       0       1       0       0
   [9,]       0       0       0       1       0       1       0       0       0
  [10,]       1       0       0       1       0       0       0       0       0
        [,5480] [,5481] [,5482] [,5483] [,5484] [,5485] [,5486] [,5487] [,5488]
   [1,]       0       1       0       0       0       1       1       0       0
   [2,]       1       1       0       0       1       1       0       0       0
   [3,]       1       0       0       0       0       0       0       1       0
   [4,]       0       0       1       0       0       0       0       1       1
   [5,]       1       0       0       1       0       0       0       1       0
   [6,]       0       0       0       1       0       1       0       0       0
   [7,]       1       1       0       0       0       0       0       1       1
   [8,]       0       0       0       1       0       1       0       0       0
   [9,]       0       1       0       0       0       1       0       0       0
  [10,]       1       0       0       0       0       0       0       1       0
        [,5489] [,5490] [,5491] [,5492] [,5493] [,5494] [,5495] [,5496] [,5497]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       0       1       1       1       0       0       1
   [6,]       1       1       0       0       1       0       0       1       1
   [7,]       0       0       0       1       0       0       0       1       0
   [8,]       0       0       1       0       0       1       0       1       1
   [9,]       1       1       0       1       0       0       0       0       1
  [10,]       0       0       0       1       0       1       1       0       0
        [,5498] [,5499] [,5500] [,5501] [,5502] [,5503] [,5504] [,5505] [,5506]
   [1,]       1       0       0       1       0       0       1       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       1       0       0       1       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       1       0       0       0       0       0       1       0
   [9,]       1       1       0       1       0       1       1       0       1
  [10,]       0       0       0       0       0       1       0       0       0
        [,5507] [,5508] [,5509] [,5510] [,5511] [,5512] [,5513] [,5514] [,5515]
   [1,]       0       0       0       1       1       0       0       0       0
   [2,]       0       1       1       0       0       1       1       0       1
   [3,]       1       0       0       0       1       0       0       0       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       1       1       0       0       0       1       0       0
   [6,]       0       0       0       0       0       1       1       1       1
   [7,]       1       0       0       0       1       0       0       0       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       0       0       1       1       1       0       0       1
  [10,]       0       0       0       0       1       0       0       0       0
        [,5516] [,5517] [,5518] [,5519] [,5520] [,5521] [,5522] [,5523] [,5524]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       1       1       0
   [3,]       0       1       1       1       0       0       0       0       0
   [4,]       1       1       1       0       0       0       0       0       0
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       0       1       0       1       0       0       1       0       0
   [7,]       0       0       0       0       1       1       0       0       0
   [8,]       0       0       1       0       0       1       1       0       0
   [9,]       0       0       0       0       0       1       1       0       0
  [10,]       1       1       0       0       0       0       1       0       0
        [,5525] [,5526] [,5527] [,5528] [,5529] [,5530] [,5531] [,5532] [,5533]
   [1,]       1       0       1       1       0       1       0       0       0
   [2,]       0       0       0       0       1       0       1       0       0
   [3,]       1       0       0       1       0       0       0       1       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       1       1       0       1       0       0       0       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       1       0       0       1       0       0       1       1
   [8,]       0       0       1       0       1       0       1       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       1       0       0       1       1       0
        [,5534] [,5535] [,5536] [,5537] [,5538] [,5539] [,5540] [,5541] [,5542]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       0       0       0       0       1       0       1       0       0
   [3,]       0       1       1       0       1       1       0       1       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       1       0       0       0       1       1       0       0       1
   [7,]       0       0       0       0       0       0       1       1       1
   [8,]       0       0       0       0       1       0       0       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       1       1       0       0       0       0       0       1
        [,5543] [,5544] [,5545] [,5546] [,5547] [,5548] [,5549] [,5550] [,5551]
   [1,]       0       0       0       1       0       0       0       1       0
   [2,]       0       1       1       1       0       0       1       0       0
   [3,]       0       0       0       1       0       1       0       1       0
   [4,]       0       1       0       0       0       1       0       0       0
   [5,]       0       1       0       0       0       0       1       1       0
   [6,]       1       0       1       0       1       0       0       1       0
   [7,]       0       1       0       0       0       0       1       0       0
   [8,]       0       0       0       0       0       0       0       1       1
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       1       1       0       0       0       0       0       0
        [,5552] [,5553] [,5554] [,5555] [,5556] [,5557] [,5558] [,5559] [,5560]
   [1,]       0       0       0       0       0       1       0       1       1
   [2,]       0       1       1       0       0       1       1       0       0
   [3,]       1       0       0       0       0       1       1       1       1
   [4,]       0       1       1       0       0       0       0       0       0
   [5,]       0       0       0       0       0       1       1       0       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       1       1       0       0       0       0       0       0
   [8,]       0       1       1       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,5561] [,5562] [,5563] [,5564] [,5565] [,5566] [,5567] [,5568] [,5569]
   [1,]       0       0       0       0       1       0       1       1       1
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       1       0       0       1       0       0       1       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       1       0       0       1       1       0       1       0       0
  [10,]       0       0       0       1       1       1       0       0       0
        [,5570] [,5571] [,5572] [,5573] [,5574] [,5575] [,5576] [,5577] [,5578]
   [1,]       0       0       0       0       0       1       0       1       0
   [2,]       0       0       0       0       0       0       0       1       1
   [3,]       0       0       1       1       0       0       1       0       0
   [4,]       0       1       0       0       0       1       0       0       0
   [5,]       0       1       0       1       1       0       0       0       1
   [6,]       0       1       1       0       0       0       0       0       0
   [7,]       0       0       0       0       0       1       1       0       0
   [8,]       0       0       0       1       0       1       1       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       0       0       0       1       1       1       0
        [,5579] [,5580] [,5581] [,5582] [,5583] [,5584] [,5585] [,5586] [,5587]
   [1,]       0       1       1       1       0       1       0       0       1
   [2,]       0       0       0       1       0       0       1       0       0
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       1       0       0       0       0       0       1
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       0       0       0       1       0       1       0
   [8,]       1       1       1       0       0       0       0       0       0
   [9,]       0       0       0       0       1       1       0       0       0
  [10,]       0       0       1       1       1       0       0       1       0
        [,5588] [,5589] [,5590] [,5591] [,5592] [,5593] [,5594] [,5595] [,5596]
   [1,]       0       1       0       0       0       0       1       0       0
   [2,]       0       0       1       1       0       0       1       0       0
   [3,]       1       0       0       0       0       0       1       0       0
   [4,]       0       0       0       0       0       0       1       1       0
   [5,]       0       0       1       1       0       0       1       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       0       1       0       1       0       0       0       1
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       1       1       0       1       0       0       0       0       0
        [,5597] [,5598] [,5599] [,5600] [,5601] [,5602] [,5603] [,5604] [,5605]
   [1,]       0       0       0       1       0       0       0       0       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       1       0       0       0       0       1       1       0
   [4,]       0       0       1       1       1       0       1       0       1
   [5,]       0       0       0       0       0       0       1       1       1
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       0       0       0       1       1       1       0       1
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       1       1       0       0       0       1       0       0       1
  [10,]       0       1       1       0       0       0       0       1       0
        [,5606] [,5607] [,5608] [,5609] [,5610] [,5611] [,5612] [,5613] [,5614]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       1       1       1       0       1       0       0       0       0
   [4,]       0       1       0       0       0       1       0       0       0
   [5,]       0       0       0       1       0       0       0       1       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       0       0       0       1       0       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       1       0       0       0       1       0       0       0       0
        [,5615] [,5616] [,5617] [,5618] [,5619] [,5620] [,5621] [,5622] [,5623]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       1       0       1       1       1       0       1       0
   [3,]       0       0       0       1       1       0       0       1       0
   [4,]       0       0       0       0       1       0       0       1       0
   [5,]       0       0       0       0       0       1       1       1       0
   [6,]       1       1       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       1       0       1       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,5624] [,5625] [,5626] [,5627] [,5628] [,5629] [,5630] [,5631] [,5632]
   [1,]       0       0       1       0       0       0       1       1       0
   [2,]       0       0       0       1       1       0       0       0       0
   [3,]       1       1       0       0       1       0       0       1       1
   [4,]       0       1       1       0       0       0       1       0       0
   [5,]       1       1       0       0       1       0       0       0       1
   [6,]       0       1       0       0       0       0       0       0       1
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       0       0       1       0       0       0       0       0       1
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       1       0       1       1       1       1       1       0       1
        [,5633] [,5634] [,5635] [,5636] [,5637] [,5638] [,5639] [,5640] [,5641]
   [1,]       0       0       1       0       1       0       1       1       0
   [2,]       1       1       0       0       0       1       0       0       1
   [3,]       1       0       1       0       0       0       1       1       0
   [4,]       0       1       0       1       1       0       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       1       0       0       0       1
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       1       0       0       0       0       1       0       0
   [9,]       0       1       1       0       1       0       0       1       1
  [10,]       0       0       0       1       1       0       0       0       0
        [,5642] [,5643] [,5644] [,5645] [,5646] [,5647] [,5648] [,5649] [,5650]
   [1,]       1       1       0       0       0       0       1       0       0
   [2,]       1       1       0       0       1       0       1       0       1
   [3,]       0       0       0       1       1       0       1       1       0
   [4,]       0       1       0       0       0       0       0       1       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       1       0       0       1       0       0       0       0
   [7,]       0       0       0       1       0       1       0       0       0
   [8,]       0       1       0       0       0       0       0       0       1
   [9,]       0       0       0       0       0       1       0       1       0
  [10,]       1       0       0       0       1       0       1       1       1
        [,5651] [,5652] [,5653] [,5654] [,5655] [,5656] [,5657] [,5658] [,5659]
   [1,]       1       0       0       0       0       1       0       0       1
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       0       1       1
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       1       1       1       0       0       0       0       0       1
   [6,]       1       0       0       0       1       1       1       1       1
   [7,]       0       1       0       1       1       0       0       0       1
   [8,]       0       0       1       1       1       0       0       0       0
   [9,]       1       0       0       0       1       0       0       1       0
  [10,]       0       0       0       1       0       0       1       0       0
        [,5660] [,5661] [,5662] [,5663] [,5664] [,5665] [,5666] [,5667] [,5668]
   [1,]       1       1       0       1       0       0       0       0       0
   [2,]       0       0       1       0       1       0       0       0       0
   [3,]       0       0       1       0       0       1       0       0       0
   [4,]       0       0       0       0       0       0       1       1       0
   [5,]       1       0       0       1       1       0       0       0       0
   [6,]       0       1       0       1       0       0       0       0       0
   [7,]       0       1       0       0       1       0       0       0       0
   [8,]       0       1       0       1       0       0       0       0       0
   [9,]       1       1       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,5669] [,5670] [,5671] [,5672] [,5673] [,5674] [,5675] [,5676] [,5677]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       1       0       0       1       0       1       0       0
   [3,]       1       0       1       0       0       1       0       0       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,5678] [,5679] [,5680] [,5681] [,5682] [,5683] [,5684] [,5685] [,5686]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       1       0       0       1       0       1       0       1
   [5,]       0       0       1       0       1       0       0       1       0
   [6,]       1       1       0       0       0       0       1       0       0
   [7,]       1       0       0       0       1       1       0       0       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       0       0       1       0       1       0       0       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,5687] [,5688] [,5689] [,5690] [,5691] [,5692] [,5693] [,5694] [,5695]
   [1,]       0       0       1       1       1       1       0       0       0
   [2,]       0       0       0       1       1       0       0       0       1
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       0       1       1       0       0       1       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       1       0       1       1       0       0       0       0
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       1       1       0       1       1       0       0
        [,5696] [,5697] [,5698] [,5699] [,5700] [,5701] [,5702] [,5703] [,5704]
   [1,]       1       0       0       0       0       1       0       0       1
   [2,]       1       0       0       1       0       0       0       0       1
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       1       0       0       1       0       0
   [5,]       1       0       0       1       0       0       0       0       0
   [6,]       0       0       1       0       0       0       0       1       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       0       1       1       0       1       0       0       1
   [9,]       0       0       0       0       0       1       0       1       1
  [10,]       0       1       0       0       0       0       0       1       1
        [,5705] [,5706] [,5707] [,5708] [,5709] [,5710] [,5711] [,5712] [,5713]
   [1,]       0       0       0       0       0       1       1       0       0
   [2,]       0       1       1       1       0       1       0       0       0
   [3,]       1       0       0       0       1       0       0       0       0
   [4,]       0       0       1       1       0       1       1       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       1       1       0       0       0       1       0       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       1       0       0       0       1       0       0       0       1
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       0       0       0       0       1       0       1       0
        [,5714] [,5715] [,5716] [,5717] [,5718] [,5719] [,5720] [,5721] [,5722]
   [1,]       0       1       0       1       0       0       0       0       0
   [2,]       1       1       1       0       0       1       0       0       0
   [3,]       0       1       0       0       0       0       0       1       1
   [4,]       1       0       0       0       0       1       0       0       0
   [5,]       1       0       1       0       0       0       0       1       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       0       1       0       0       1       0       0       0
   [8,]       1       0       0       1       1       0       1       0       1
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       0       0       1       0       0       1       0       1       0
        [,5723] [,5724] [,5725] [,5726] [,5727] [,5728] [,5729] [,5730] [,5731]
   [1,]       0       1       0       0       0       1       1       0       0
   [2,]       0       0       0       1       0       0       1       0       0
   [3,]       0       1       0       0       0       1       0       0       0
   [4,]       0       0       0       1       0       1       1       1       0
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       1       1       0       0       1       0
   [8,]       0       0       0       1       1       0       1       0       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       1       1       0       1       0       1       1       0       1
        [,5732] [,5733] [,5734] [,5735] [,5736] [,5737] [,5738] [,5739] [,5740]
   [1,]       0       1       1       0       1       1       0       0       1
   [2,]       0       1       1       0       0       0       1       0       0
   [3,]       1       1       0       0       0       0       0       1       1
   [4,]       0       0       0       1       0       1       0       1       0
   [5,]       0       0       0       0       1       1       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       1       1       0       1       0       0       0       0       0
   [9,]       0       1       0       1       0       0       1       0       0
  [10,]       0       0       0       1       0       0       0       1       1
        [,5741] [,5742] [,5743] [,5744] [,5745] [,5746] [,5747] [,5748] [,5749]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       0       1       0       0       1       0       0       0
   [3,]       0       0       0       1       0       0       0       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       1       0       0       0       0       1       0       1
   [6,]       0       0       1       0       1       0       0       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       1       0       1       1       0       1       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,5750] [,5751] [,5752] [,5753] [,5754] [,5755] [,5756] [,5757] [,5758]
   [1,]       0       1       0       0       1       0       1       0       1
   [2,]       0       0       0       0       1       0       0       0       1
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       1       0       0       1       0       0       0       0
   [5,]       0       1       1       0       1       0       1       0       1
   [6,]       0       0       1       1       0       0       1       0       1
   [7,]       0       0       1       0       0       0       1       0       0
   [8,]       0       0       0       1       1       1       0       1       1
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,5759] [,5760] [,5761] [,5762] [,5763] [,5764] [,5765] [,5766] [,5767]
   [1,]       0       0       0       0       1       0       1       0       1
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       1       0       1       0       0       1       0       0
   [6,]       1       0       0       0       1       0       0       0       1
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       0       0       0       1       0       1       1       1
   [9,]       0       1       0       0       0       1       0       1       1
  [10,]       1       1       0       0       1       1       0       0       0
        [,5768] [,5769] [,5770] [,5771] [,5772] [,5773] [,5774] [,5775] [,5776]
   [1,]       0       1       0       1       0       1       0       0       0
   [2,]       0       0       0       1       0       0       0       1       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       1       1       0       1       0       0       0       0
   [5,]       0       0       0       1       1       0       1       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       0       0       0       1       0       0       1       1
   [9,]       0       1       0       0       0       0       1       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,5777] [,5778] [,5779] [,5780] [,5781] [,5782] [,5783] [,5784] [,5785]
   [1,]       0       0       1       0       0       0       1       1       0
   [2,]       0       0       0       1       0       0       1       0       0
   [3,]       1       0       0       1       0       1       0       1       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       1       0       0       0
   [6,]       1       0       1       0       0       0       1       1       0
   [7,]       0       1       0       1       0       1       0       0       0
   [8,]       0       0       0       0       0       1       0       1       0
   [9,]       0       0       0       0       0       1       1       1       0
  [10,]       1       0       1       0       1       0       1       1       0
        [,5786] [,5787] [,5788] [,5789] [,5790] [,5791] [,5792] [,5793] [,5794]
   [1,]       1       0       0       1       0       1       0       1       0
   [2,]       0       0       1       0       0       1       0       1       1
   [3,]       0       1       0       0       0       0       1       0       0
   [4,]       1       0       0       1       1       0       1       0       0
   [5,]       1       0       0       0       0       0       0       0       1
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       1       1       1       0       0       1       0       0       0
   [8,]       0       0       1       0       0       1       0       0       0
   [9,]       0       1       0       1       0       0       0       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,5795] [,5796] [,5797] [,5798] [,5799] [,5800] [,5801] [,5802] [,5803]
   [1,]       0       0       0       0       1       1       1       0       0
   [2,]       1       0       1       0       1       0       1       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       1       1       0       1       0       1       0       0
   [6,]       1       1       0       0       0       0       1       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       1       0       0       1       0       0       0       1
   [9,]       0       0       1       0       0       0       1       0       0
  [10,]       1       0       0       0       1       0       0       1       1
        [,5804] [,5805] [,5806] [,5807] [,5808] [,5809] [,5810] [,5811] [,5812]
   [1,]       1       0       0       0       0       1       0       1       0
   [2,]       1       0       0       1       0       0       0       0       0
   [3,]       0       0       0       0       1       1       0       0       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       0       1       1       0       0       0       1       1       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       1       0       0       1       0
        [,5813] [,5814] [,5815] [,5816] [,5817] [,5818] [,5819] [,5820] [,5821]
   [1,]       0       0       0       0       1       0       1       1       0
   [2,]       0       1       0       1       0       1       0       1       1
   [3,]       0       1       0       0       0       1       0       1       0
   [4,]       0       0       0       1       0       0       0       1       0
   [5,]       0       0       0       1       0       1       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       1       1       0       0       0       0       0
   [8,]       1       0       0       0       1       0       0       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,5822] [,5823] [,5824] [,5825] [,5826] [,5827] [,5828] [,5829] [,5830]
   [1,]       0       1       1       0       0       0       0       0       1
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       1       0       0       0       0       0       1       0       1
   [4,]       0       1       1       0       1       0       1       0       0
   [5,]       1       1       0       0       0       0       0       1       1
   [6,]       0       0       0       0       0       1       1       0       0
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       0       1       0       1       0       0       0
  [10,]       0       1       0       0       0       0       1       0       0
        [,5831] [,5832] [,5833] [,5834] [,5835] [,5836] [,5837] [,5838] [,5839]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       1       0       0       0       1       0       0       0
   [3,]       0       1       0       1       0       1       0       1       0
   [4,]       0       0       0       0       0       0       1       0       1
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       1       0       1       0       0       1
   [7,]       1       0       1       0       1       1       0       0       1
   [8,]       0       0       0       0       1       0       0       1       1
   [9,]       0       0       0       1       0       0       0       1       0
  [10,]       0       0       1       0       0       0       0       1       1
        [,5840] [,5841] [,5842] [,5843] [,5844] [,5845] [,5846] [,5847] [,5848]
   [1,]       0       0       1       1       1       0       1       1       1
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       1       1       1       0       0       1       0       0       1
   [4,]       0       1       1       1       0       1       1       0       1
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       1       1       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       0       0       0       1       1       0       0
        [,5849] [,5850] [,5851] [,5852] [,5853] [,5854] [,5855] [,5856] [,5857]
   [1,]       1       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       1       0       0       0       0       0       1       0       1
   [5,]       1       0       0       0       0       0       1       0       1
   [6,]       1       0       0       0       1       0       0       1       0
   [7,]       0       0       0       1       1       0       1       0       0
   [8,]       0       0       1       1       0       0       1       0       1
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,5858] [,5859] [,5860] [,5861] [,5862] [,5863] [,5864] [,5865] [,5866]
   [1,]       0       0       0       0       0       0       1       0       1
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       1       0       0
   [4,]       1       1       0       0       1       0       1       0       1
   [5,]       0       0       0       0       0       1       1       1       0
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       1       0       0       0       1       0       0       0       1
   [8,]       1       0       0       0       0       0       1       0       0
   [9,]       0       1       0       0       1       1       1       0       1
  [10,]       0       1       1       1       0       0       0       0       0
        [,5867] [,5868] [,5869] [,5870] [,5871] [,5872] [,5873] [,5874] [,5875]
   [1,]       0       0       0       1       1       0       0       1       1
   [2,]       0       0       0       1       1       1       0       1       1
   [3,]       1       0       0       1       0       1       1       1       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       0       1       0       1       0       0       0       1       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       0       0       1       1       1       0       0       1
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       1       0       1       0       0       1       0       1
        [,5876] [,5877] [,5878] [,5879] [,5880] [,5881] [,5882] [,5883] [,5884]
   [1,]       1       0       0       1       0       0       1       0       0
   [2,]       0       0       1       0       0       1       1       0       0
   [3,]       0       1       0       0       0       0       1       0       1
   [4,]       0       0       1       0       1       0       0       0       1
   [5,]       0       1       1       1       1       0       0       0       0
   [6,]       0       0       0       0       1       1       0       0       0
   [7,]       1       0       0       0       0       0       1       1       1
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       1       1       0       0       1       0       0       0       0
  [10,]       0       0       1       0       0       1       0       1       1
        [,5885] [,5886] [,5887] [,5888] [,5889] [,5890] [,5891] [,5892] [,5893]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       1       0       0       1       0       0       0       0
   [3,]       1       0       0       0       0       0       1       0       0
   [4,]       1       0       0       0       0       1       1       0       1
   [5,]       0       1       1       1       0       0       1       0       1
   [6,]       0       1       1       1       0       0       0       0       0
   [7,]       0       1       0       0       0       0       0       1       1
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       0       0       1       0       0       1       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,5894] [,5895] [,5896] [,5897] [,5898] [,5899] [,5900] [,5901] [,5902]
   [1,]       0       0       0       0       1       0       1       1       1
   [2,]       0       1       1       0       0       0       1       1       0
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       0       0       1       0       1       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       1       0       1       0       1       1       0       1
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       1       1       0       0       0       1       0       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       1       0       0       0       0       0       0       0       1
        [,5903] [,5904] [,5905] [,5906] [,5907] [,5908] [,5909] [,5910] [,5911]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       0       0       0       1       0       1       0       0
   [3,]       0       1       0       1       0       1       0       0       1
   [4,]       0       0       0       1       1       0       0       0       0
   [5,]       0       0       0       0       1       1       0       0       1
   [6,]       1       1       0       1       0       0       0       1       1
   [7,]       0       0       0       1       1       0       0       0       0
   [8,]       1       1       0       1       0       0       1       1       0
   [9,]       1       0       0       0       0       1       0       0       0
  [10,]       0       1       0       1       1       0       0       1       0
        [,5912] [,5913] [,5914] [,5915] [,5916] [,5917] [,5918] [,5919] [,5920]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       1       0       1       0       0
   [3,]       0       1       0       0       0       1       0       1       0
   [4,]       0       1       0       0       0       0       0       1       0
   [5,]       1       0       1       1       1       1       0       0       0
   [6,]       0       0       0       0       0       0       1       0       1
   [7,]       0       0       0       0       0       0       1       1       1
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       1       0       1       1       1       1       0       1
  [10,]       0       1       0       0       1       1       0       0       0
        [,5921] [,5922] [,5923] [,5924] [,5925] [,5926] [,5927] [,5928] [,5929]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       0       0       1       0       1       0       0       1       1
   [5,]       0       1       0       1       0       0       0       0       0
   [6,]       0       1       1       0       0       0       0       1       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       0       1       0       0       0       0       1       0
   [9,]       1       0       0       0       0       0       0       1       1
  [10,]       0       0       1       0       0       0       0       1       1
        [,5930] [,5931] [,5932] [,5933] [,5934] [,5935] [,5936] [,5937] [,5938]
   [1,]       0       1       0       1       0       0       1       0       1
   [2,]       0       1       1       1       1       1       0       0       1
   [3,]       1       0       1       0       1       0       0       1       1
   [4,]       0       0       0       1       0       1       0       0       0
   [5,]       0       0       1       0       0       1       0       1       0
   [6,]       0       1       1       0       0       0       0       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       1       0       0       1       0       1       1       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       1       1       0       0       0       1       1       0       1
        [,5939] [,5940] [,5941] [,5942] [,5943] [,5944] [,5945] [,5946] [,5947]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       1       1       1       0       0       0       1       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       1       1       0       0       0       1       0
   [5,]       0       0       0       0       1       1       1       0       0
   [6,]       1       0       1       0       1       1       0       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       1       1       0       0       0       0       0       1
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       1       0       0       0       1
        [,5948] [,5949] [,5950] [,5951] [,5952] [,5953] [,5954] [,5955] [,5956]
   [1,]       1       0       0       1       0       1       0       0       0
   [2,]       0       1       0       0       1       1       1       1       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       1       1       0       1       0       0       0       1       0
   [5,]       1       0       0       0       1       0       1       1       1
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       1       0       1       1       0       1       0       0
   [8,]       0       0       1       1       0       0       1       0       0
   [9,]       1       0       0       0       0       0       1       1       0
  [10,]       1       0       1       0       1       0       1       0       0
        [,5957] [,5958] [,5959] [,5960] [,5961] [,5962] [,5963] [,5964] [,5965]
   [1,]       1       1       0       0       0       1       0       1       1
   [2,]       0       0       1       0       1       0       0       1       0
   [3,]       0       0       1       0       0       1       0       1       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       1       0       1       0       1       0       0       1
   [6,]       0       1       0       1       0       0       1       0       1
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       0       0       0       1       0       1       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       1       1       0       0       1       0       0
        [,5966] [,5967] [,5968] [,5969] [,5970] [,5971] [,5972] [,5973] [,5974]
   [1,]       1       1       0       0       0       0       0       0       1
   [2,]       1       0       1       0       1       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       0       0       0       1       0       0       0       0
   [5,]       1       1       1       0       0       0       0       1       0
   [6,]       0       0       1       1       0       1       1       0       1
   [7,]       0       0       0       1       1       0       0       1       0
   [8,]       0       0       0       0       0       0       1       1       1
   [9,]       1       0       1       1       1       0       0       1       0
  [10,]       1       0       0       0       0       0       0       0       1
        [,5975] [,5976] [,5977] [,5978] [,5979] [,5980] [,5981] [,5982] [,5983]
   [1,]       0       0       1       0       1       0       0       1       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       1       1       0       0       0       0       0       0       0
   [4,]       0       1       0       1       1       0       1       0       0
   [5,]       0       1       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       1       1       0       0       0       1       0       0       0
   [8,]       0       1       1       0       0       0       1       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       1       1       1       0       0       1
        [,5984] [,5985] [,5986] [,5987] [,5988] [,5989] [,5990] [,5991] [,5992]
   [1,]       0       0       0       1       0       0       0       1       0
   [2,]       0       0       1       0       0       1       0       1       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       0       0       1       0       1       1       0
   [5,]       0       0       0       0       0       0       1       1       0
   [6,]       1       0       0       0       1       0       1       1       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       1       1       0       0       1       1
  [10,]       0       0       0       1       0       1       1       0       0
        [,5993] [,5994] [,5995] [,5996] [,5997] [,5998] [,5999] [,6000] [,6001]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       0       0       1       1       0       0       0       1
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       1       1       1       1       0       0       1       0
   [5,]       1       0       1       1       0       1       0       0       1
   [6,]       0       1       1       0       0       0       0       0       1
   [7,]       1       0       1       0       1       1       0       0       0
   [8,]       0       0       0       1       1       0       0       0       0
   [9,]       1       1       1       1       0       1       0       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,6002] [,6003] [,6004] [,6005] [,6006] [,6007] [,6008] [,6009] [,6010]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       1       0       0       1       0       1       0       0       1
   [4,]       0       1       1       1       0       0       0       1       0
   [5,]       0       0       0       0       0       0       1       0       1
   [6,]       0       0       0       0       0       1       1       1       0
   [7,]       0       0       1       1       0       1       0       1       0
   [8,]       0       0       0       1       1       0       0       0       0
   [9,]       0       0       0       1       1       1       0       1       0
  [10,]       0       0       1       1       0       0       0       0       0
        [,6011] [,6012] [,6013] [,6014] [,6015] [,6016] [,6017] [,6018] [,6019]
   [1,]       0       1       1       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       1       0       0       0       0       0       1       0
   [5,]       1       0       0       0       0       0       1       0       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       1       0       1       0       1       0       0       0       1
   [8,]       0       1       0       1       0       0       0       1       0
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       1       0       1       0       1       0       0       0
        [,6020] [,6021] [,6022] [,6023] [,6024] [,6025] [,6026] [,6027] [,6028]
   [1,]       0       0       0       0       0       0       1       0       1
   [2,]       0       0       1       0       0       0       1       0       0
   [3,]       0       0       0       0       0       0       1       0       1
   [4,]       0       0       0       0       0       0       1       1       0
   [5,]       0       1       0       0       0       0       1       0       0
   [6,]       0       1       0       0       0       0       0       1       0
   [7,]       0       0       1       0       0       1       0       0       0
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       1       0       0       0       1       0       1       0       0
  [10,]       0       0       0       0       0       1       0       0       1
        [,6029] [,6030] [,6031] [,6032] [,6033] [,6034] [,6035] [,6036] [,6037]
   [1,]       0       0       0       0       0       0       1       0       1
   [2,]       0       0       0       0       0       0       1       0       1
   [3,]       0       0       0       0       1       0       1       0       0
   [4,]       0       1       0       0       0       0       0       0       1
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       0       0       0       0       1       0       0       1
   [7,]       1       1       0       0       0       1       0       0       1
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       0       0       1       0       1       0       0       0
  [10,]       0       0       1       0       0       0       0       1       1
        [,6038] [,6039] [,6040] [,6041] [,6042] [,6043] [,6044] [,6045] [,6046]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       0       0       0       0       1       1       0       0
   [3,]       0       0       0       0       0       1       1       0       0
   [4,]       0       0       1       0       0       0       0       1       0
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       0       1       1       0       0       0       0       0       0
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       0       0       0       0       1       0       1       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       1       1       0       0       1       0       0       1       1
        [,6047] [,6048] [,6049] [,6050] [,6051] [,6052] [,6053] [,6054] [,6055]
   [1,]       0       0       0       1       1       0       1       1       0
   [2,]       0       0       0       0       1       0       1       0       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       0       1       0       0       0       1       1       1       0
   [5,]       0       1       0       0       0       1       0       1       0
   [6,]       0       1       1       0       0       0       0       0       1
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       0       0       0       0       1       0       1       0       0
   [9,]       1       1       0       1       0       0       1       0       0
  [10,]       0       0       0       1       1       1       0       1       0
        [,6056] [,6057] [,6058] [,6059] [,6060] [,6061] [,6062] [,6063] [,6064]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       1       1       0
   [3,]       0       0       0       1       0       1       0       1       0
   [4,]       0       0       0       1       0       0       0       1       0
   [5,]       1       1       0       0       1       0       0       0       0
   [6,]       1       0       0       0       0       0       1       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       1       0       0       0       0       0       1       1
        [,6065] [,6066] [,6067] [,6068] [,6069] [,6070] [,6071] [,6072] [,6073]
   [1,]       0       0       0       0       1       1       0       1       0
   [2,]       1       1       0       0       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       1       1
   [4,]       0       0       0       1       0       1       0       1       1
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       0       1       1       0       0       0       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       1       1       1       0       1
  [10,]       0       1       0       0       0       0       1       0       0
        [,6074] [,6075] [,6076] [,6077] [,6078] [,6079] [,6080] [,6081] [,6082]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       1       1       0       0       1       0       0       0
   [3,]       1       1       1       1       1       1       0       1       0
   [4,]       0       0       0       1       0       0       1       1       0
   [5,]       1       0       0       1       0       1       0       0       0
   [6,]       1       0       0       1       1       0       0       1       0
   [7,]       0       0       0       1       1       0       0       0       0
   [8,]       0       0       1       0       1       0       1       0       0
   [9,]       1       1       0       0       1       1       0       0       0
  [10,]       1       0       0       0       1       1       1       0       0
        [,6083] [,6084] [,6085] [,6086] [,6087] [,6088] [,6089] [,6090] [,6091]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       1       1       0       0       0       0       1       0
   [5,]       1       0       0       0       0       1       0       1       1
   [6,]       0       0       0       0       0       0       1       1       0
   [7,]       0       1       1       1       1       0       1       1       1
   [8,]       0       0       1       1       0       1       0       0       0
   [9,]       0       1       0       0       0       1       1       1       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,6092] [,6093] [,6094] [,6095] [,6096] [,6097] [,6098] [,6099] [,6100]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       1       1       0       1       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       1       1       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       1       0       0       0       1       1       0       1
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       1       0       1       1       0       0       0       0       0
        [,6101] [,6102] [,6103] [,6104] [,6105] [,6106] [,6107] [,6108] [,6109]
   [1,]       0       1       1       0       0       1       1       0       0
   [2,]       1       0       0       1       0       0       1       0       1
   [3,]       0       0       0       0       0       1       1       0       0
   [4,]       1       0       0       1       0       0       0       0       1
   [5,]       0       0       0       1       0       0       0       0       1
   [6,]       0       0       0       0       0       1       0       0       1
   [7,]       0       1       0       0       0       0       1       0       1
   [8,]       1       0       0       0       0       1       0       1       0
   [9,]       1       0       0       0       0       0       0       1       1
  [10,]       1       0       1       0       0       0       0       0       0
        [,6110] [,6111] [,6112] [,6113] [,6114] [,6115] [,6116] [,6117] [,6118]
   [1,]       1       1       1       0       0       1       1       0       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       1       0       0       0       1       0       0       1
   [4,]       0       1       0       0       0       0       0       1       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       1       0       0       0       0       0       0       0       1
   [7,]       0       0       1       0       1       0       1       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       1       0       0       0       0       0       1       0
  [10,]       0       0       0       0       1       0       1       0       0
        [,6119] [,6120] [,6121] [,6122] [,6123] [,6124] [,6125] [,6126] [,6127]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       0       0       1       0       0       0       1
   [3,]       0       0       0       0       1       1       1       1       0
   [4,]       0       0       1       1       1       0       0       0       0
   [5,]       0       0       0       0       0       0       1       0       1
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       0       0       0       1       0       0       0       1
   [8,]       0       0       1       1       0       1       1       0       0
   [9,]       0       0       1       0       0       1       1       1       0
  [10,]       1       0       0       0       1       0       0       0       0
        [,6128] [,6129] [,6130] [,6131] [,6132] [,6133] [,6134] [,6135] [,6136]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       1       0       0       0       0       0       1       0       0
   [3,]       0       1       0       0       0       0       0       0       1
   [4,]       0       0       0       1       0       1       0       1       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       0       0       1       0       1
   [7,]       1       1       0       0       0       0       1       1       0
   [8,]       1       0       0       0       0       0       1       0       0
   [9,]       1       0       1       0       0       0       0       1       0
  [10,]       0       1       0       0       0       0       1       0       1
        [,6137] [,6138] [,6139] [,6140] [,6141] [,6142] [,6143] [,6144] [,6145]
   [1,]       0       0       0       0       0       1       0       1       0
   [2,]       0       0       1       0       0       0       1       0       0
   [3,]       0       1       0       1       0       1       0       0       0
   [4,]       0       1       0       0       0       0       1       0       0
   [5,]       1       0       0       1       1       0       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       0       0       1       1       0       0       0       0       1
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       1       1       0       0       0       0       0       0
        [,6146] [,6147] [,6148] [,6149] [,6150] [,6151] [,6152] [,6153] [,6154]
   [1,]       0       0       0       0       1       1       0       1       0
   [2,]       0       0       0       1       0       0       0       0       1
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       0       0       0       1       1       0       0       0       0
   [6,]       0       0       0       1       0       0       0       0       1
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       1       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,6155] [,6156] [,6157] [,6158] [,6159] [,6160] [,6161] [,6162] [,6163]
   [1,]       0       0       1       1       0       1       0       0       1
   [2,]       1       1       0       0       1       0       0       0       1
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       1       1       0       0       0       1       0       0       0
   [5,]       0       0       0       0       0       0       0       1       1
   [6,]       0       0       1       0       0       0       0       1       0
   [7,]       0       1       0       0       1       1       0       0       0
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       0       1       1       0       0       1       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,6164] [,6165] [,6166] [,6167] [,6168] [,6169] [,6170] [,6171] [,6172]
   [1,]       0       0       1       0       1       0       0       1       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       1       0       0       0       0       0       1       1       1
   [7,]       0       0       1       0       0       1       0       0       0
   [8,]       0       0       0       0       0       0       0       1       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       1       0       1       1       0       0       1       0       0
        [,6173] [,6174] [,6175] [,6176] [,6177] [,6178] [,6179] [,6180] [,6181]
   [1,]       0       0       1       0       0       0       1       0       1
   [2,]       0       0       0       0       1       0       0       0       1
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       1       1       0       0       0       0       0
   [5,]       0       0       0       0       1       0       0       1       1
   [6,]       0       0       0       0       1       0       1       0       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       1       1       0       0       0       0       0       0
        [,6182] [,6183] [,6184] [,6185] [,6186] [,6187] [,6188] [,6189] [,6190]
   [1,]       0       1       0       1       0       0       0       0       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       0       0       0       1       0       0       0       1
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       0       0       1       0       1       0
   [6,]       1       1       0       0       0       0       1       0       0
   [7,]       1       0       1       0       0       0       1       0       0
   [8,]       0       1       0       0       0       0       0       1       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       0       1       0       1       0       0       0
        [,6191] [,6192] [,6193] [,6194] [,6195] [,6196] [,6197] [,6198] [,6199]
   [1,]       0       0       0       1       1       0       1       0       1
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       1       1       0       0       0       0       0       1       0
   [4,]       0       0       0       0       0       0       0       1       1
   [5,]       0       0       0       0       1       0       1       1       1
   [6,]       0       0       0       0       1       1       0       0       1
   [7,]       1       0       0       0       0       1       0       1       1
   [8,]       0       0       0       1       0       0       1       0       0
   [9,]       0       0       0       0       1       0       0       0       1
  [10,]       0       1       0       0       0       0       0       0       1
        [,6200] [,6201] [,6202] [,6203] [,6204] [,6205] [,6206] [,6207] [,6208]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       1       0       0       0       1       0       0
   [3,]       1       0       1       0       1       0       1       0       0
   [4,]       1       1       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       1       1       0       1       1       0       0       1
   [8,]       0       1       0       0       0       1       0       1       0
   [9,]       1       0       0       0       0       0       0       1       0
  [10,]       0       1       0       0       0       0       1       0       0
        [,6209] [,6210] [,6211] [,6212] [,6213] [,6214] [,6215] [,6216] [,6217]
   [1,]       0       0       1       0       0       0       0       1       0
   [2,]       0       0       1       0       1       0       0       0       0
   [3,]       0       1       1       0       0       0       0       1       0
   [4,]       1       1       0       1       0       0       0       1       0
   [5,]       0       0       0       1       0       1       0       0       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       1       0       1       0       0       0       1       1       1
   [9,]       0       1       1       0       1       1       1       0       1
  [10,]       1       0       1       0       0       0       0       1       0
        [,6218] [,6219] [,6220] [,6221] [,6222] [,6223] [,6224] [,6225] [,6226]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       0       0       0       0       1       0       1
   [3,]       0       0       0       0       0       0       1       1       1
   [4,]       0       0       0       1       0       0       0       1       0
   [5,]       0       0       0       0       1       0       0       0       1
   [6,]       0       0       0       1       0       0       0       1       0
   [7,]       0       0       1       0       0       1       0       0       0
   [8,]       0       1       0       1       0       0       0       1       1
   [9,]       0       0       0       0       1       0       0       1       0
  [10,]       1       1       1       1       1       0       0       0       1
        [,6227] [,6228] [,6229] [,6230] [,6231] [,6232] [,6233] [,6234] [,6235]
   [1,]       0       0       0       1       0       0       1       0       0
   [2,]       0       1       1       1       1       0       1       0       0
   [3,]       0       1       0       1       1       0       1       1       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       1       0       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       1       1       1       1
   [7,]       0       0       1       0       0       0       0       1       0
   [8,]       0       0       0       1       0       1       1       0       0
   [9,]       0       0       0       1       0       0       0       1       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,6236] [,6237] [,6238] [,6239] [,6240] [,6241] [,6242] [,6243] [,6244]
   [1,]       0       1       0       0       1       1       1       1       0
   [2,]       1       0       0       1       1       1       0       1       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       1       0       0       0       1       1       0       1       0
   [7,]       0       1       0       0       1       1       1       0       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       0       0       0       1       0       0       0       1
  [10,]       1       0       1       0       0       0       0       1       1
        [,6245] [,6246] [,6247] [,6248] [,6249] [,6250] [,6251] [,6252] [,6253]
   [1,]       0       0       1       0       1       0       0       0       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       0       1       0       1       1       0       0       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       1       1       1       0       0       0       0       0
   [7,]       1       0       0       0       1       0       0       0       0
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       1       0       1       1       1       0       0       0       0
  [10,]       1       0       0       1       0       0       0       0       0
        [,6254] [,6255] [,6256] [,6257] [,6258] [,6259] [,6260] [,6261] [,6262]
   [1,]       0       0       0       0       1       1       0       1       0
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       1       0       0       0       1       0       0
   [5,]       0       0       0       0       0       0       0       1       1
   [6,]       0       0       0       1       0       1       0       0       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       1       0       0       0       0       1       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       0       1       0       0       0       0       1
        [,6263] [,6264] [,6265] [,6266] [,6267] [,6268] [,6269] [,6270] [,6271]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       1       0       1
   [3,]       0       0       1       0       0       0       0       0       1
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       0       0       0       0       0       0       1       0
   [7,]       0       1       0       0       0       0       0       1       1
   [8,]       0       0       0       1       1       0       0       1       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       1       0       0       0       0       0       1       0
        [,6272] [,6273] [,6274] [,6275] [,6276] [,6277] [,6278] [,6279] [,6280]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       1       0       0       0       0       1       0       0       0
   [3,]       0       0       0       0       1       0       0       0       1
   [4,]       1       1       1       0       0       1       0       0       0
   [5,]       0       1       0       0       0       0       0       0       1
   [6,]       0       1       0       1       0       0       0       0       0
   [7,]       1       0       0       0       1       1       0       0       0
   [8,]       0       0       0       1       0       1       1       0       1
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       1       0       0       1       0       0       0       0       1
        [,6281] [,6282] [,6283] [,6284] [,6285] [,6286] [,6287] [,6288] [,6289]
   [1,]       1       1       1       0       0       0       0       0       1
   [2,]       1       1       1       1       0       1       0       0       0
   [3,]       1       1       0       0       0       0       0       1       0
   [4,]       1       0       1       0       1       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       0       1       0       0       1       1       1       0
   [7,]       0       0       0       0       0       1       0       1       0
   [8,]       0       0       0       0       0       1       0       1       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       1       1       0       1       0       0       1       1       0
        [,6290] [,6291] [,6292] [,6293] [,6294] [,6295] [,6296] [,6297] [,6298]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       1       0       1       0       0       0       1       1
   [4,]       1       0       0       0       1       1       0       0       0
   [5,]       0       1       0       0       1       0       0       1       0
   [6,]       1       0       1       0       1       1       1       0       0
   [7,]       0       0       1       0       1       1       0       1       0
   [8,]       1       1       1       1       0       0       1       0       0
   [9,]       0       0       1       0       0       0       1       0       0
  [10,]       0       0       0       0       1       0       1       0       1
        [,6299] [,6300] [,6301] [,6302] [,6303] [,6304] [,6305] [,6306] [,6307]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       1       0       0       0       0       0       1       0
   [3,]       0       0       0       0       0       0       1       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       1       1       0       1       0       0       1       0
   [6,]       1       1       0       0       0       0       0       0       1
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       1       1       1
   [9,]       1       0       1       1       0       1       1       0       0
  [10,]       0       0       1       0       1       0       0       0       0
        [,6308] [,6309] [,6310] [,6311] [,6312] [,6313] [,6314] [,6315] [,6316]
   [1,]       0       0       0       0       0       1       1       0       0
   [2,]       0       1       0       1       1       1       0       0       0
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       0       0       1       1       0       0       0       0       0
   [5,]       1       0       0       1       0       0       0       0       0
   [6,]       0       1       0       1       0       1       0       1       0
   [7,]       0       1       0       0       0       0       1       0       1
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       1       0       1       0       0       0       0
  [10,]       1       0       0       0       0       1       0       0       0
        [,6317] [,6318] [,6319] [,6320] [,6321] [,6322] [,6323] [,6324] [,6325]
   [1,]       1       0       1       0       0       0       1       1       0
   [2,]       1       0       0       1       0       0       1       0       1
   [3,]       0       0       1       0       0       1       0       1       0
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       1       1       0       1       0       0       0       0
   [6,]       0       0       0       1       1       0       0       0       1
   [7,]       1       1       0       0       0       0       0       1       0
   [8,]       1       0       0       0       1       1       0       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       1       1       0       0       0       0       1       0
        [,6326] [,6327] [,6328] [,6329] [,6330] [,6331] [,6332] [,6333] [,6334]
   [1,]       0       0       0       1       0       1       0       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       1       0       1       1       0
   [4,]       1       1       0       1       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       1       0       0       1       0       0       0       0
   [7,]       0       1       0       0       1       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       1       1       0       0       0       0       0       0       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,6335] [,6336] [,6337] [,6338] [,6339] [,6340] [,6341] [,6342] [,6343]
   [1,]       1       0       0       0       0       1       0       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       1       0       1       1       0       0       0       1
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       1       0       0       1       0       1       1       0       0
   [7,]       0       0       1       0       0       1       0       1       0
   [8,]       0       0       0       1       0       1       0       1       1
   [9,]       1       0       0       1       1       0       1       0       0
  [10,]       1       0       0       0       0       0       0       1       0
        [,6344] [,6345] [,6346] [,6347] [,6348] [,6349] [,6350] [,6351] [,6352]
   [1,]       0       0       0       0       1       1       0       1       0
   [2,]       1       1       0       1       1       1       0       1       0
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       1       1       1       1       0       0       0       1       0
   [5,]       0       0       1       0       0       0       1       0       1
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       1       1       0       1       0
   [8,]       0       1       1       1       0       1       0       0       0
   [9,]       0       0       1       0       1       1       0       0       0
  [10,]       0       0       1       0       0       0       0       0       1
        [,6353] [,6354] [,6355] [,6356] [,6357] [,6358] [,6359] [,6360] [,6361]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       1       0       1       0       0       0       0       1       0
   [3,]       0       1       1       1       1       1       0       0       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       0       0       1       0       0       0       1
   [6,]       0       1       1       0       0       0       0       0       1
   [7,]       0       1       0       1       0       0       0       0       1
   [8,]       0       0       1       0       0       1       0       0       0
   [9,]       1       0       1       1       0       0       0       1       0
  [10,]       0       0       0       1       0       1       0       1       1
        [,6362] [,6363] [,6364] [,6365] [,6366] [,6367] [,6368] [,6369] [,6370]
   [1,]       0       0       0       0       0       1       0       1       0
   [2,]       0       0       1       0       0       0       0       0       1
   [3,]       0       1       1       0       1       1       0       1       1
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       0       1       1       0       0       1       1       1       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       1       1
  [10,]       1       1       0       0       0       0       1       0       0
        [,6371] [,6372] [,6373] [,6374] [,6375] [,6376] [,6377] [,6378] [,6379]
   [1,]       1       0       0       0       1       0       0       0       1
   [2,]       0       0       0       1       0       1       0       0       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       0       0       0       0       1       1       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       1       0       0       0       0       0       1       1       0
   [7,]       1       0       0       0       1       1       1       1       1
   [8,]       0       0       0       1       0       1       1       0       1
   [9,]       1       1       0       0       1       1       0       0       0
  [10,]       0       0       1       0       0       0       1       0       1
        [,6380] [,6381] [,6382] [,6383] [,6384] [,6385] [,6386] [,6387] [,6388]
   [1,]       1       0       0       0       1       0       1       0       0
   [2,]       1       0       0       0       0       1       0       0       0
   [3,]       1       0       1       0       1       0       0       0       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       0       1       0       1       0       1
   [6,]       0       1       0       0       1       0       0       1       0
   [7,]       0       1       0       0       1       0       0       0       1
   [8,]       1       1       1       0       0       0       0       0       0
   [9,]       0       0       0       0       1       0       0       0       1
  [10,]       0       0       0       0       0       0       1       0       0
        [,6389] [,6390] [,6391] [,6392] [,6393] [,6394] [,6395] [,6396] [,6397]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       1       0       0       0       0       0       0       1
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       1       0       0       0       0       0       1       1       0
   [5,]       1       0       0       1       0       0       1       0       1
   [6,]       0       0       0       0       0       0       1       0       1
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       1       0       0       0       0       0       0       0       1
   [9,]       0       0       1       0       0       0       0       1       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,6398] [,6399] [,6400] [,6401] [,6402] [,6403] [,6404] [,6405] [,6406]
   [1,]       0       0       1       1       0       0       0       0       0
   [2,]       1       1       0       1       1       1       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       1       0       0       0       0       0       0       1
   [5,]       1       0       1       0       1       0       0       1       0
   [6,]       0       1       1       0       0       1       0       0       0
   [7,]       1       0       0       1       0       0       0       0       1
   [8,]       1       0       1       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       1       1       0       0       0       0       1       0
        [,6407] [,6408] [,6409] [,6410] [,6411] [,6412] [,6413] [,6414] [,6415]
   [1,]       0       0       1       0       0       1       1       0       1
   [2,]       0       0       0       0       0       0       1       0       1
   [3,]       0       0       1       1       0       0       0       0       1
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       1       0       0       1       0       1       0       0
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       1       0       0       0       1       0       0       0       1
  [10,]       0       1       0       0       0       0       0       1       1
        [,6416] [,6417] [,6418] [,6419] [,6420] [,6421] [,6422] [,6423] [,6424]
   [1,]       0       1       1       0       0       0       1       0       0
   [2,]       0       0       0       0       0       1       1       0       1
   [3,]       1       0       0       0       0       0       1       1       0
   [4,]       0       0       0       1       0       1       0       0       0
   [5,]       1       1       1       1       0       0       0       1       0
   [6,]       1       0       0       1       0       1       1       1       0
   [7,]       1       0       0       0       1       0       0       0       1
   [8,]       1       0       0       0       0       0       0       1       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       1       1       1       1       0       0       0       0
        [,6425] [,6426] [,6427] [,6428] [,6429] [,6430] [,6431] [,6432] [,6433]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       1       0       1       0       0       0       0
   [3,]       0       0       1       0       1       0       1       0       0
   [4,]       1       0       0       0       1       0       1       0       1
   [5,]       0       0       1       0       0       1       1       0       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       0       0       0       0       1       1       0       0
   [8,]       0       0       0       0       1       0       0       1       0
   [9,]       1       0       1       0       0       0       0       0       1
  [10,]       0       0       1       0       1       1       0       0       0
        [,6434] [,6435] [,6436] [,6437] [,6438] [,6439] [,6440] [,6441] [,6442]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       1       0       1       1
   [3,]       0       1       0       0       0       0       1       1       0
   [4,]       0       0       1       0       1       0       0       0       0
   [5,]       0       1       0       0       0       0       1       0       0
   [6,]       1       0       0       0       1       0       0       0       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       0       1       0       0       0       0       0       1
   [9,]       1       1       0       0       0       1       0       0       0
  [10,]       0       1       1       0       0       0       0       0       0
        [,6443] [,6444] [,6445] [,6446] [,6447] [,6448] [,6449] [,6450] [,6451]
   [1,]       0       0       0       1       0       0       1       0       0
   [2,]       0       1       1       1       0       1       0       0       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       0       1       0       1       0       0       0       0       0
   [5,]       1       0       1       0       0       0       1       1       1
   [6,]       1       0       0       0       0       0       0       1       0
   [7,]       1       1       0       0       0       0       0       0       0
   [8,]       0       0       1       1       1       0       0       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       1       0       1       1       1       0       1       0       0
        [,6452] [,6453] [,6454] [,6455] [,6456] [,6457] [,6458] [,6459] [,6460]
   [1,]       0       0       0       1       1       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       1       1       1       0       1       0       0       0       1
   [5,]       0       0       0       1       1       1       0       0       0
   [6,]       0       0       1       0       0       1       0       1       0
   [7,]       1       0       1       1       0       1       0       1       1
   [8,]       0       0       1       0       1       0       0       0       0
   [9,]       0       0       0       0       0       1       0       1       1
  [10,]       0       0       0       1       0       0       0       1       0
        [,6461] [,6462] [,6463] [,6464] [,6465] [,6466] [,6467] [,6468] [,6469]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       0       1       0       1       0       0       1       1
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       1       1       1       0       0       0       0       0
   [5,]       1       0       0       0       1       0       0       0       1
   [6,]       0       1       0       1       1       0       0       0       1
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       0       0       0       0       0       0       1       1       1
   [9,]       1       0       0       1       1       0       0       0       1
  [10,]       1       0       0       0       0       0       0       0       0
        [,6470] [,6471] [,6472] [,6473] [,6474] [,6475] [,6476] [,6477] [,6478]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       1       0       0       1       0       0       0       1
   [3,]       0       1       0       0       1       0       0       0       0
   [4,]       0       1       0       0       0       0       0       1       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       0       1       1       1       0       0       0
   [7,]       1       0       0       1       0       1       0       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       1       1       1       1       0
  [10,]       1       0       0       0       0       0       0       0       1
        [,6479] [,6480] [,6481] [,6482] [,6483] [,6484] [,6485] [,6486] [,6487]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       0       0       0       1       1       0       1       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       1       1       0       1
   [7,]       0       0       1       1       0       1       0       0       0
   [8,]       0       0       0       0       0       1       1       1       0
   [9,]       0       1       1       0       0       0       0       0       1
  [10,]       1       0       0       0       1       0       0       0       1
        [,6488] [,6489] [,6490] [,6491] [,6492] [,6493] [,6494] [,6495] [,6496]
   [1,]       1       0       0       1       1       0       0       0       1
   [2,]       1       0       0       1       0       0       0       0       0
   [3,]       0       1       0       1       0       1       0       1       1
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       1       0       1       1       0       0       1
   [6,]       0       0       0       1       0       0       0       0       1
   [7,]       1       0       1       0       0       0       0       0       1
   [8,]       1       1       0       0       1       0       0       0       0
   [9,]       0       1       0       0       0       1       0       1       1
  [10,]       0       0       0       0       0       0       1       0       1
        [,6497] [,6498] [,6499] [,6500] [,6501] [,6502] [,6503] [,6504] [,6505]
   [1,]       0       1       0       1       0       0       0       0       0
   [2,]       1       1       0       0       0       0       1       0       1
   [3,]       1       1       0       0       0       1       1       0       1
   [4,]       0       0       0       1       0       0       0       1       0
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       1       0       0       0       1       0       0       0       1
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       1       0       0       0       0       1       0       0       1
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,6506] [,6507] [,6508] [,6509] [,6510] [,6511] [,6512] [,6513] [,6514]
   [1,]       1       0       0       0       0       0       0       0       1
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       0       0       1       0       1       0       0       1
   [4,]       0       0       0       0       1       1       0       0       0
   [5,]       0       0       0       0       1       0       0       1       0
   [6,]       0       0       0       1       0       0       0       0       1
   [7,]       0       0       1       1       0       1       0       1       1
   [8,]       0       0       0       0       0       1       0       1       0
   [9,]       0       1       0       1       0       0       0       1       0
  [10,]       0       0       0       1       1       1       0       1       0
        [,6515] [,6516] [,6517] [,6518] [,6519] [,6520] [,6521] [,6522] [,6523]
   [1,]       0       0       1       0       1       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       1       0       1       1       0       1       0
   [4,]       0       1       0       1       0       0       0       0       0
   [5,]       1       0       1       0       0       0       0       0       0
   [6,]       0       0       1       1       1       0       0       0       1
   [7,]       0       0       1       1       0       0       1       0       1
   [8,]       0       0       1       1       0       0       0       0       0
   [9,]       1       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       1       1
        [,6524] [,6525] [,6526] [,6527] [,6528] [,6529] [,6530] [,6531] [,6532]
   [1,]       0       0       0       0       1       0       0       1       1
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       0       1       0       0       1       1       0
   [4,]       1       0       0       0       1       0       0       1       0
   [5,]       0       0       1       0       1       0       0       1       0
   [6,]       0       1       0       0       0       0       1       1       1
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       1       1       0       0       0       0       0
        [,6533] [,6534] [,6535] [,6536] [,6537] [,6538] [,6539] [,6540] [,6541]
   [1,]       0       0       0       0       0       1       1       0       1
   [2,]       0       1       0       1       1       1       0       1       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       1       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       1       0       0       1       0       0       0
   [7,]       1       0       0       0       0       0       0       1       1
   [8,]       1       0       1       0       0       0       0       0       0
   [9,]       0       0       1       0       0       0       0       0       1
  [10,]       1       0       1       0       0       0       0       0       0
        [,6542] [,6543] [,6544] [,6545] [,6546] [,6547] [,6548] [,6549] [,6550]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       1       1       0       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       1       0       0       1       0       0       0
   [5,]       0       0       0       1       0       1       0       1       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       1       0       0       0       1       0       0       0
  [10,]       1       0       0       0       0       1       0       0       0
        [,6551] [,6552] [,6553] [,6554] [,6555] [,6556] [,6557] [,6558] [,6559]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       0       0       1       0       0       0       1
   [3,]       0       0       1       0       1       1       0       0       1
   [4,]       0       0       1       0       1       0       1       0       0
   [5,]       0       0       1       0       1       1       0       0       0
   [6,]       1       0       0       0       0       0       1       0       1
   [7,]       0       0       0       1       0       0       0       1       0
   [8,]       0       0       1       1       0       1       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       1       1       0       0       0       0       0       0
        [,6560] [,6561] [,6562] [,6563] [,6564] [,6565] [,6566] [,6567] [,6568]
   [1,]       0       1       1       1       0       0       0       0       0
   [2,]       0       0       1       1       0       1       0       0       0
   [3,]       0       0       0       1       0       0       0       0       1
   [4,]       0       1       0       0       1       0       0       1       0
   [5,]       0       1       0       0       0       1       0       1       0
   [6,]       1       0       0       1       0       0       0       0       1
   [7,]       0       0       1       0       0       0       0       1       0
   [8,]       0       0       1       0       0       1       0       1       0
   [9,]       0       1       1       0       1       0       1       1       1
  [10,]       0       0       0       0       0       0       0       0       1
        [,6569] [,6570] [,6571] [,6572] [,6573] [,6574] [,6575] [,6576] [,6577]
   [1,]       0       1       0       0       0       0       1       1       1
   [2,]       0       0       0       1       1       1       0       1       0
   [3,]       0       1       1       0       0       0       0       1       0
   [4,]       1       1       1       1       0       0       0       1       1
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       0       1       1       0       1       1       0       1       0
   [7,]       1       0       1       1       0       0       0       0       0
   [8,]       0       0       1       1       1       0       0       0       1
   [9,]       0       1       0       0       0       0       0       0       1
  [10,]       0       1       0       0       0       0       0       0       0
        [,6578] [,6579] [,6580] [,6581] [,6582] [,6583] [,6584] [,6585] [,6586]
   [1,]       0       1       0       0       0       0       0       1       0
   [2,]       0       0       0       1       0       0       1       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       0       0       1       1       0       0       0       0
   [5,]       0       0       0       1       1       0       1       1       0
   [6,]       1       0       0       0       1       0       0       0       0
   [7,]       0       0       1       0       1       1       1       1       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       1       1       0       0       1       1       1       1       0
        [,6587] [,6588] [,6589] [,6590] [,6591] [,6592] [,6593] [,6594] [,6595]
   [1,]       0       0       0       0       1       0       0       1       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       1       0       0       0       1       0       0       1       1
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       1       0       0       0       1       0       0       1       0
   [6,]       0       1       1       0       0       1       0       1       0
   [7,]       0       0       0       0       1       1       1       0       0
   [8,]       0       0       1       0       0       0       0       0       1
   [9,]       0       0       0       1       0       0       1       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,6596] [,6597] [,6598] [,6599] [,6600] [,6601] [,6602] [,6603] [,6604]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       1       1       0       0       0       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       1       0       0       0       1
   [6,]       0       0       1       0       1       0       0       0       1
   [7,]       1       0       1       1       1       0       0       1       0
   [8,]       0       0       0       1       0       0       1       0       0
   [9,]       0       0       1       0       0       0       0       1       0
  [10,]       1       0       1       0       1       0       0       1       0
        [,6605] [,6606] [,6607] [,6608] [,6609] [,6610] [,6611] [,6612] [,6613]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       0       0       1       1       0       1       0
   [3,]       0       0       0       0       1       0       1       1       0
   [4,]       0       1       0       0       0       1       0       0       0
   [5,]       1       0       0       0       0       0       0       0       1
   [6,]       0       0       0       1       1       0       1       0       1
   [7,]       0       1       1       1       0       1       0       1       1
   [8,]       1       1       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       1       0       0       0       0       1       1       0       0
        [,6614] [,6615] [,6616] [,6617] [,6618] [,6619] [,6620] [,6621] [,6622]
   [1,]       1       0       0       0       0       0       1       1       0
   [2,]       0       1       0       0       0       0       0       1       0
   [3,]       0       1       1       0       1       0       1       1       0
   [4,]       0       0       0       1       0       1       1       1       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       1       0       0       1       0       0       0       0
   [7,]       0       0       0       1       0       0       1       1       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       0       0       1       0       1       1       0       0
  [10,]       0       0       0       0       1       1       0       0       0
        [,6623] [,6624] [,6625] [,6626] [,6627] [,6628] [,6629] [,6630] [,6631]
   [1,]       1       0       0       0       1       1       1       0       1
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       0       1       1       0       0       1       0       0       0
   [4,]       1       1       0       0       0       0       1       0       1
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       1       0       1       0       0       0       0       0       0
   [7,]       1       0       0       0       0       0       0       0       1
   [8,]       1       0       1       0       0       1       0       0       0
   [9,]       1       0       0       1       0       0       0       1       0
  [10,]       0       1       0       1       1       0       1       0       0
        [,6632] [,6633] [,6634] [,6635] [,6636] [,6637] [,6638] [,6639] [,6640]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       0       0       1       0       0       1       0       1       1
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       1       1       0       1       1       0       0       0       0
   [8,]       0       0       1       0       0       1       0       1       1
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,6641] [,6642] [,6643] [,6644] [,6645] [,6646] [,6647] [,6648] [,6649]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       0       1       0       1       0       1       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       1       1       0       0       0       1       1       0       0
   [5,]       0       1       0       0       0       0       1       0       1
   [6,]       1       1       0       1       0       0       0       0       0
   [7,]       0       0       1       1       0       1       0       0       1
   [8,]       1       0       1       0       0       1       0       1       0
   [9,]       0       1       0       0       0       0       1       0       0
  [10,]       0       0       1       0       0       1       0       1       0
        [,6650] [,6651] [,6652] [,6653] [,6654] [,6655] [,6656] [,6657] [,6658]
   [1,]       0       0       0       0       0       0       1       1       0
   [2,]       0       1       1       1       0       0       0       0       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       1       1       0       0       0       0       1       0
   [5,]       1       0       0       1       0       0       0       1       1
   [6,]       0       0       1       0       1       0       1       0       0
   [7,]       1       0       0       1       0       0       0       0       1
   [8,]       1       0       0       0       1       1       1       0       0
   [9,]       0       1       0       0       1       0       1       0       1
  [10,]       0       0       0       0       0       0       1       0       1
        [,6659] [,6660] [,6661] [,6662] [,6663] [,6664] [,6665] [,6666] [,6667]
   [1,]       1       1       1       0       1       0       1       0       0
   [2,]       0       1       0       0       1       0       0       0       1
   [3,]       1       0       0       0       0       0       0       1       0
   [4,]       0       1       1       1       0       1       0       1       1
   [5,]       1       0       0       0       0       0       0       0       1
   [6,]       1       0       0       1       1       0       0       1       1
   [7,]       0       0       0       0       0       0       1       0       1
   [8,]       1       1       1       0       0       0       0       0       1
   [9,]       1       0       0       0       1       1       1       0       1
  [10,]       0       0       0       0       0       0       1       0       0
        [,6668] [,6669] [,6670] [,6671] [,6672] [,6673] [,6674] [,6675] [,6676]
   [1,]       0       0       0       0       1       0       0       1       1
   [2,]       0       0       0       1       1       0       0       0       0
   [3,]       0       0       0       1       1       0       0       0       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       1       1       1       0       1       0       0       0
   [6,]       0       0       0       1       0       0       0       0       1
   [7,]       0       0       0       1       0       1       0       0       1
   [8,]       1       0       0       1       1       0       0       0       0
   [9,]       0       1       0       1       1       0       0       0       0
  [10,]       0       1       1       0       0       1       0       1       1
        [,6677] [,6678] [,6679] [,6680] [,6681] [,6682] [,6683] [,6684] [,6685]
   [1,]       0       0       1       0       1       1       0       0       0
   [2,]       0       1       0       0       0       0       0       1       0
   [3,]       0       0       1       1       0       1       0       0       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       0       1       0       0       1       0       0       0       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       0       0       0       1       1       0       0       0
   [8,]       1       0       0       1       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,6686] [,6687] [,6688] [,6689] [,6690] [,6691] [,6692] [,6693] [,6694]
   [1,]       1       0       0       0       0       0       0       1       0
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       0       0       1       0       0       0       1       0       0
   [4,]       0       0       0       1       0       1       0       0       0
   [5,]       1       0       1       0       0       0       0       0       0
   [6,]       1       0       0       0       0       0       1       1       0
   [7,]       1       0       0       0       0       0       1       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       0       0       0       0       1
  [10,]       0       1       0       0       0       0       1       0       1
        [,6695] [,6696] [,6697] [,6698] [,6699] [,6700] [,6701] [,6702] [,6703]
   [1,]       1       0       0       0       1       1       0       0       0
   [2,]       0       1       0       0       1       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       1       0       1       1       0       0       0       0       0
   [6,]       1       0       1       1       0       0       1       0       1
   [7,]       0       1       0       0       0       0       1       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       1       0       0       1       1       0       0       0
  [10,]       0       0       0       1       0       1       0       0       0
        [,6704] [,6705] [,6706] [,6707] [,6708] [,6709] [,6710] [,6711] [,6712]
   [1,]       0       0       0       0       0       0       1       1       0
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       0       0       1       0       0       0       1       1       0
   [5,]       1       0       1       0       1       0       0       0       1
   [6,]       0       0       0       0       0       1       1       1       0
   [7,]       0       0       0       1       1       0       0       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       0       0       0       1       0       0       0       1
  [10,]       0       0       0       0       1       1       1       0       0
        [,6713] [,6714] [,6715] [,6716] [,6717] [,6718] [,6719] [,6720] [,6721]
   [1,]       1       0       1       0       0       0       0       1       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       1       1       0       0       1       1       1
   [5,]       1       0       0       0       1       1       0       0       0
   [6,]       1       0       0       0       0       1       0       1       0
   [7,]       1       0       0       0       1       0       0       0       0
   [8,]       0       0       0       0       0       0       1       0       1
   [9,]       1       1       1       0       0       0       0       0       0
  [10,]       0       0       1       1       1       0       0       0       0
        [,6722] [,6723] [,6724] [,6725] [,6726] [,6727] [,6728] [,6729] [,6730]
   [1,]       0       0       0       0       0       0       1       0       1
   [2,]       0       1       1       0       0       1       0       1       0
   [3,]       1       0       0       0       0       0       1       0       0
   [4,]       0       1       0       0       0       0       1       0       0
   [5,]       1       0       0       0       1       0       1       1       0
   [6,]       0       0       0       1       0       1       0       0       0
   [7,]       0       0       1       0       0       0       1       1       0
   [8,]       0       0       1       0       0       0       0       0       1
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,6731] [,6732] [,6733] [,6734] [,6735] [,6736] [,6737] [,6738] [,6739]
   [1,]       1       0       1       1       0       1       1       0       1
   [2,]       0       0       1       0       0       1       0       1       0
   [3,]       1       0       0       1       1       0       1       0       0
   [4,]       0       0       0       0       1       0       1       0       0
   [5,]       0       0       0       0       0       0       1       0       1
   [6,]       0       0       0       0       1       1       0       0       1
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       1       1       0       1       0       1       0       0       0
   [9,]       0       0       0       1       0       0       0       0       1
  [10,]       0       0       1       0       0       0       0       0       0
        [,6740] [,6741] [,6742] [,6743] [,6744] [,6745] [,6746] [,6747] [,6748]
   [1,]       0       1       0       0       1       1       1       0       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       0       0       1       0       0       1       1       1
   [5,]       0       1       1       0       1       0       1       0       1
   [6,]       0       0       0       0       1       0       1       0       1
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       0       1       0       0       0       1       0
  [10,]       0       1       0       1       0       0       0       0       0
        [,6749] [,6750] [,6751] [,6752] [,6753] [,6754] [,6755] [,6756] [,6757]
   [1,]       1       0       0       0       0       1       0       0       1
   [2,]       1       0       0       1       0       0       0       0       1
   [3,]       1       1       0       0       0       1       0       0       0
   [4,]       0       1       0       1       0       0       0       1       0
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       1       0       0       0       0       0       1       0       0
   [7,]       1       0       0       0       0       1       0       1       0
   [8,]       1       1       1       0       0       0       1       0       0
   [9,]       1       0       0       1       0       1       0       0       0
  [10,]       0       1       0       1       0       1       0       1       1
        [,6758] [,6759] [,6760] [,6761] [,6762] [,6763] [,6764] [,6765] [,6766]
   [1,]       1       0       1       0       0       0       0       0       1
   [2,]       1       0       0       0       1       0       0       0       0
   [3,]       0       0       1       0       1       0       0       1       0
   [4,]       0       0       0       0       0       1       1       0       0
   [5,]       0       0       0       1       0       0       0       1       0
   [6,]       0       1       0       1       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       0       0       1       0       1       0       1       0
   [9,]       0       1       0       1       0       1       0       1       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,6767] [,6768] [,6769] [,6770] [,6771] [,6772] [,6773] [,6774] [,6775]
   [1,]       0       1       1       1       0       0       1       0       0
   [2,]       0       0       1       0       1       0       1       0       0
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       1       1       1       0       0       1       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       1       0       1       0       0       0       0       1       0
   [9,]       0       1       1       0       0       0       0       0       0
  [10,]       1       0       1       0       0       0       0       0       0
        [,6776] [,6777] [,6778] [,6779] [,6780] [,6781] [,6782] [,6783] [,6784]
   [1,]       1       0       0       0       0       1       0       1       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       0       0       0       1       0       0       1       1
   [4,]       1       0       0       0       0       0       0       0       1
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       1       0       0       0       0       1       0       0       0
   [8,]       0       0       1       0       0       0       0       0       1
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       0       1       1       0       0       0       0       1
        [,6785] [,6786] [,6787] [,6788] [,6789] [,6790] [,6791] [,6792] [,6793]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       0       1       0       0       0       1       0       0
   [3,]       1       0       0       0       0       0       0       1       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       0       1       0       1       0       1       0       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       1       0       1       1       0       0       0       0       0
   [8,]       0       1       0       0       0       0       0       1       0
   [9,]       0       0       1       0       1       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,6794] [,6795] [,6796] [,6797] [,6798] [,6799] [,6800] [,6801] [,6802]
   [1,]       0       0       0       0       1       0       0       1       1
   [2,]       1       0       1       0       1       0       0       1       1
   [3,]       0       1       0       0       1       0       0       0       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       1       0       0       0       0       0       1       0       1
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       1       0       0       0       1       1       0       0       0
   [8,]       0       0       1       0       0       0       0       1       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       1       0       0       1       0       0       0       0       0
        [,6803] [,6804] [,6805] [,6806] [,6807] [,6808] [,6809] [,6810] [,6811]
   [1,]       0       1       0       1       0       0       0       0       0
   [2,]       0       1       1       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       0       1       0       1       1       0       1       0
   [5,]       0       0       1       0       0       1       0       0       1
   [6,]       1       0       0       1       0       0       0       0       0
   [7,]       1       0       0       1       0       0       0       1       0
   [8,]       0       0       1       1       0       0       0       0       0
   [9,]       0       0       1       1       0       0       0       0       0
  [10,]       0       1       1       0       1       0       1       1       1
        [,6812] [,6813] [,6814] [,6815] [,6816] [,6817] [,6818] [,6819] [,6820]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       1       0       1       1       1       0       0       0
   [3,]       1       0       0       1       0       1       0       0       1
   [4,]       0       1       0       0       0       1       0       1       0
   [5,]       0       0       1       0       1       0       1       0       1
   [6,]       0       0       0       0       1       1       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,6821] [,6822] [,6823] [,6824] [,6825] [,6826] [,6827] [,6828] [,6829]
   [1,]       0       1       1       0       1       0       0       0       0
   [2,]       0       0       1       0       0       1       0       0       0
   [3,]       0       1       1       0       0       1       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       1       0       0       0       1       1       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       1       0       0       1       0       1       0       0       1
  [10,]       1       0       1       0       0       0       0       0       0
        [,6830] [,6831] [,6832] [,6833] [,6834] [,6835] [,6836] [,6837] [,6838]
   [1,]       1       0       0       0       0       0       1       0       1
   [2,]       0       0       1       0       1       0       0       0       1
   [3,]       0       0       0       0       0       1       0       0       1
   [4,]       0       1       0       0       0       0       1       0       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       1       0       1       1       1       1       0       1       0
   [8,]       1       0       1       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       1       0       0       0       1       1       1       1
        [,6839] [,6840] [,6841] [,6842] [,6843] [,6844] [,6845] [,6846] [,6847]
   [1,]       0       1       0       0       1       0       0       1       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       1       0       1
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       1       1       0       0       0       1       0       0       0
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       0       0       1       0       1       1       0       0       0
        [,6848] [,6849] [,6850] [,6851] [,6852] [,6853] [,6854] [,6855] [,6856]
   [1,]       0       0       1       0       1       0       0       0       0
   [2,]       0       0       0       0       0       0       1       0       1
   [3,]       0       0       1       0       0       1       0       1       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       0       0       0       0       1       0       1       1
   [6,]       1       0       0       0       1       0       1       0       0
   [7,]       0       0       0       0       0       1       0       0       1
   [8,]       0       1       0       0       1       0       1       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       1       0       0       1       0       1       0       0
        [,6857] [,6858] [,6859] [,6860] [,6861] [,6862] [,6863] [,6864] [,6865]
   [1,]       1       1       0       1       1       0       0       0       1
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       1       1       0       1       0       0       1       0       1
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       0       1       0       1       1       1
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       0       0       0       0       1       1       0       0       1
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       1       0       0       1       1       0       0       0
  [10,]       0       0       1       1       0       0       0       0       0
        [,6866] [,6867] [,6868] [,6869] [,6870] [,6871] [,6872] [,6873] [,6874]
   [1,]       0       0       0       1       1       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       0       1       1       0       1       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       1       0       1       0       0       0       0       0
   [8,]       0       1       0       0       0       1       0       0       0
   [9,]       1       1       0       1       0       0       0       1       0
  [10,]       0       0       0       0       0       0       1       0       1
        [,6875] [,6876] [,6877] [,6878] [,6879] [,6880] [,6881] [,6882] [,6883]
   [1,]       0       0       0       0       0       1       1       1       0
   [2,]       0       1       1       0       0       0       0       0       0
   [3,]       1       0       0       1       0       0       1       0       0
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       1       0       0       0       0       1       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       1       0       0       0       0       0       1
   [8,]       0       1       0       1       1       1       1       1       0
   [9,]       0       1       0       0       0       0       1       0       1
  [10,]       0       0       0       1       0       1       0       0       1
        [,6884] [,6885] [,6886] [,6887] [,6888] [,6889] [,6890] [,6891] [,6892]
   [1,]       1       0       0       0       0       1       0       1       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       1       0       0       1       0       0       0       0       1
   [4,]       0       1       0       0       1       0       1       0       1
   [5,]       0       0       0       0       1       0       1       0       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       0       1       0       0       1       0       0       0
   [8,]       0       1       0       1       0       1       0       1       0
   [9,]       0       0       1       0       0       0       1       0       0
  [10,]       0       0       0       0       1       1       1       1       0
        [,6893] [,6894] [,6895] [,6896] [,6897] [,6898] [,6899] [,6900] [,6901]
   [1,]       0       0       1       0       0       0       1       0       0
   [2,]       0       1       0       0       0       0       1       1       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       1       0       0       0       0       0       0       0       1
   [5,]       0       1       0       1       0       0       1       0       1
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       1       0       0       0       0       0       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,6902] [,6903] [,6904] [,6905] [,6906] [,6907] [,6908] [,6909] [,6910]
   [1,]       1       1       0       0       0       0       0       0       0
   [2,]       1       0       0       0       1       0       1       0       1
   [3,]       1       0       1       0       0       1       0       0       1
   [4,]       0       0       0       1       0       0       1       0       1
   [5,]       1       0       0       1       0       0       1       1       0
   [6,]       0       0       0       1       0       0       1       0       0
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       1       1       0       0       0       1       0       0       0
   [9,]       0       1       0       0       1       0       0       0       1
  [10,]       1       0       0       0       0       0       0       1       0
        [,6911] [,6912] [,6913] [,6914] [,6915] [,6916] [,6917] [,6918] [,6919]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       1       0       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       0       0       1       0       0       0       1       0       1
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       0       0       0       0       1       0       1       1
   [9,]       1       1       0       0       0       0       0       0       0
  [10,]       0       0       1       0       1       0       0       1       0
        [,6920] [,6921] [,6922] [,6923] [,6924] [,6925] [,6926] [,6927] [,6928]
   [1,]       0       1       1       0       0       0       0       0       0
   [2,]       0       1       0       0       0       1       0       0       1
   [3,]       0       1       1       0       0       0       1       0       1
   [4,]       0       1       1       0       1       0       1       0       1
   [5,]       0       1       0       0       1       0       1       1       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       0       0       1       1       0       0       1       0
   [8,]       1       0       0       1       0       0       1       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       1       0       0       0       1       1       0
        [,6929] [,6930] [,6931] [,6932] [,6933] [,6934] [,6935] [,6936] [,6937]
   [1,]       0       0       1       0       0       1       0       0       1
   [2,]       1       0       1       1       0       0       0       0       0
   [3,]       0       0       0       1       1       1       0       0       0
   [4,]       0       0       1       0       0       0       0       1       1
   [5,]       0       1       0       0       1       0       0       1       0
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       0       0       0       0       1       0       0       1       1
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       1       1       0       0       0       0       0       0
        [,6938] [,6939] [,6940] [,6941] [,6942] [,6943] [,6944] [,6945] [,6946]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       1       1       0       0       0
   [3,]       0       1       0       0       0       1       0       0       0
   [4,]       0       0       0       1       0       0       0       0       1
   [5,]       0       0       1       1       0       0       0       1       0
   [6,]       0       0       0       1       0       0       1       1       1
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       1       0       0       0       0       0       0       1       0
   [9,]       0       1       0       0       0       1       0       1       0
  [10,]       0       1       0       0       1       0       0       1       0
        [,6947] [,6948] [,6949] [,6950] [,6951] [,6952] [,6953] [,6954] [,6955]
   [1,]       0       0       0       0       0       0       0       1       1
   [2,]       0       0       0       1       1       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       1
   [4,]       0       1       0       0       0       0       1       0       0
   [5,]       0       0       0       1       1       0       0       0       0
   [6,]       0       0       0       1       1       0       1       0       1
   [7,]       1       0       0       0       0       1       0       0       1
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       1       0       1       1       1       0       0       0
  [10,]       0       0       0       1       0       1       0       0       1
        [,6956] [,6957] [,6958] [,6959] [,6960] [,6961] [,6962] [,6963] [,6964]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       1       0       0       0       0       1       0       0
   [3,]       0       1       0       0       0       0       1       1       0
   [4,]       1       0       0       0       0       0       0       1       0
   [5,]       0       0       1       0       1       0       0       0       0
   [6,]       0       0       1       0       0       1       1       1       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       1       0       1       0       0       1       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       1       1       0       1       0       0       0       0       0
        [,6965] [,6966] [,6967] [,6968] [,6969] [,6970] [,6971] [,6972] [,6973]
   [1,]       0       0       0       0       1       1       0       0       0
   [2,]       1       0       0       0       1       0       0       0       1
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       0       1       1       0       0       0       0       0       0
   [5,]       1       0       0       0       0       0       1       0       1
   [6,]       0       1       0       1       0       0       0       1       0
   [7,]       0       0       0       0       0       0       0       1       1
   [8,]       0       0       0       0       0       1       0       1       0
   [9,]       1       1       1       0       1       1       0       1       0
  [10,]       1       1       0       0       0       0       0       0       1
        [,6974] [,6975] [,6976] [,6977] [,6978] [,6979] [,6980] [,6981] [,6982]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       1       1       1       0       0       0
   [4,]       0       0       1       0       0       0       1       1       0
   [5,]       1       0       0       0       1       0       0       1       0
   [6,]       0       0       1       1       0       1       1       0       1
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       1       0       1       0       0       1       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       1       0       1       0       0       1       0       0       1
        [,6983] [,6984] [,6985] [,6986] [,6987] [,6988] [,6989] [,6990] [,6991]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       0       0       1       0       0       0       0       0       1
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       1       1       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       1       1       0       0       0       0       1       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       0       0       0       1       1       0       0
        [,6992] [,6993] [,6994] [,6995] [,6996] [,6997] [,6998] [,6999] [,7000]
   [1,]       0       0       0       0       0       1       0       1       0
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       1       0       0       0       0       0       0       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       1       0       0       0       0       1
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       1       1       0       1       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       1       1       0       0       0       0       0       0       0
        [,7001] [,7002] [,7003] [,7004] [,7005] [,7006] [,7007] [,7008] [,7009]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       1       0       0       0       0       0       0       1       0
   [3,]       0       0       0       1       0       1       1       0       1
   [4,]       1       0       0       0       0       0       0       1       0
   [5,]       0       1       0       0       0       0       1       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       1       0       1       0       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       1       0       0       1       0       0       1       0       1
        [,7010] [,7011] [,7012] [,7013] [,7014] [,7015] [,7016] [,7017] [,7018]
   [1,]       0       0       0       1       0       1       0       1       0
   [2,]       1       0       0       0       0       0       1       0       1
   [3,]       0       1       0       0       0       0       0       0       1
   [4,]       1       0       1       0       0       1       0       1       0
   [5,]       0       0       0       1       0       1       1       0       0
   [6,]       0       0       0       1       1       1       0       0       0
   [7,]       0       0       0       0       0       1       1       0       1
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       1       1       1       0       0       0       1       0       0
  [10,]       0       0       1       0       1       0       0       1       0
        [,7019] [,7020] [,7021] [,7022] [,7023] [,7024] [,7025] [,7026] [,7027]
   [1,]       0       1       0       1       0       0       0       0       1
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       1       0       0       1       0       0       0       0       1
   [4,]       0       0       0       1       0       1       0       0       0
   [5,]       0       0       0       1       0       0       0       1       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       1       1       0       0       1       1       1       0
   [8,]       0       0       0       0       0       0       1       1       0
   [9,]       0       0       0       1       0       0       1       1       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,7028] [,7029] [,7030] [,7031] [,7032] [,7033] [,7034] [,7035] [,7036]
   [1,]       0       0       0       0       0       0       1       1       1
   [2,]       0       1       1       0       1       0       1       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       0       0       1       1       1       0       0       1
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       0       0       0       1       1       0       0       1       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       1       1       1       0       0       1       0       0       0
   [9,]       0       1       1       1       0       0       1       0       0
  [10,]       0       0       0       0       0       0       1       0       1
        [,7037] [,7038] [,7039] [,7040] [,7041] [,7042] [,7043] [,7044] [,7045]
   [1,]       1       0       1       0       1       0       0       0       0
   [2,]       0       0       1       0       0       0       1       1       0
   [3,]       0       1       0       0       0       1       0       0       0
   [4,]       1       0       1       0       1       0       1       0       0
   [5,]       0       0       0       0       1       1       0       1       1
   [6,]       1       0       1       1       0       0       0       1       0
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       0       0       0       1       0       0       0       0       1
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,7046] [,7047] [,7048] [,7049] [,7050] [,7051] [,7052] [,7053] [,7054]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       1       1       1       0       1       1       1       0       0
   [4,]       0       0       0       1       0       1       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       0       1       1       0       0
   [7,]       0       0       0       1       0       0       1       0       1
   [8,]       1       0       0       0       1       0       0       0       0
   [9,]       0       0       1       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,7055] [,7056] [,7057] [,7058] [,7059] [,7060] [,7061] [,7062] [,7063]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       1       1       0       1       1       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       1       1       0       0       0       0       0       0       0
   [7,]       0       1       1       1       0       0       0       0       0
   [8,]       0       0       0       0       0       1       0       0       1
   [9,]       0       0       0       1       0       0       1       0       0
  [10,]       1       1       1       0       0       0       0       1       0
        [,7064] [,7065] [,7066] [,7067] [,7068] [,7069] [,7070] [,7071] [,7072]
   [1,]       1       1       1       0       0       0       1       1       0
   [2,]       0       0       0       0       1       0       0       0       1
   [3,]       0       0       1       0       0       0       0       0       1
   [4,]       0       0       0       1       1       0       0       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       1       0       1       0       0       1       0
   [7,]       1       0       0       0       1       1       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       0       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,7073] [,7074] [,7075] [,7076] [,7077] [,7078] [,7079] [,7080] [,7081]
   [1,]       1       0       0       0       0       0       1       0       1
   [2,]       0       0       1       1       0       1       0       0       1
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       1       1       1       0       1       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       1       0       0       1       0       0       0       0       0
   [8,]       1       1       0       1       1       1       0       1       0
   [9,]       1       1       0       1       0       0       1       0       0
  [10,]       0       1       0       0       1       0       0       0       0
        [,7082] [,7083] [,7084] [,7085] [,7086] [,7087] [,7088] [,7089] [,7090]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       0       0       0       0       1       0       1       1
   [3,]       0       0       0       1       0       1       0       0       0
   [4,]       0       1       1       1       1       0       0       0       0
   [5,]       1       0       0       0       0       1       0       1       1
   [6,]       0       1       1       0       0       0       0       0       0
   [7,]       0       0       1       1       1       0       0       0       1
   [8,]       0       0       0       1       0       0       1       0       1
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       1       0       0       0       0       0       0       0       1
        [,7091] [,7092] [,7093] [,7094] [,7095] [,7096] [,7097] [,7098] [,7099]
   [1,]       0       1       0       0       1       1       0       0       1
   [2,]       1       0       1       1       0       1       0       0       1
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       0       0       0       1       0       1       0       0       0
   [5,]       0       0       1       0       0       0       0       0       1
   [6,]       0       0       0       0       0       0       0       1       1
   [7,]       0       0       0       0       1       0       0       0       1
   [8,]       0       1       1       0       1       0       0       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       1       1       0       0       0       0       1       0       0
        [,7100] [,7101] [,7102] [,7103] [,7104] [,7105] [,7106] [,7107] [,7108]
   [1,]       0       0       1       0       0       0       0       1       0
   [2,]       0       0       0       0       0       1       0       1       1
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       1       0       0       0       0       1       1       0       0
   [5,]       0       0       1       1       0       0       0       0       0
   [6,]       0       0       1       0       0       1       1       1       1
   [7,]       1       0       0       0       0       0       1       0       0
   [8,]       0       1       1       0       1       0       0       0       0
   [9,]       1       0       1       1       1       0       0       1       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,7109] [,7110] [,7111] [,7112] [,7113] [,7114] [,7115] [,7116] [,7117]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       1       0       0       0       0       1       0       1       0
   [3,]       0       1       0       0       0       0       1       1       0
   [4,]       1       0       0       0       1       0       0       0       0
   [5,]       1       0       1       0       0       0       1       0       1
   [6,]       1       0       1       1       1       0       0       0       1
   [7,]       0       0       1       0       1       1       0       0       1
   [8,]       0       1       1       0       0       0       0       0       0
   [9,]       0       0       1       1       0       1       0       0       1
  [10,]       0       0       0       0       0       0       0       1       1
        [,7118] [,7119] [,7120] [,7121] [,7122] [,7123] [,7124] [,7125] [,7126]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       0       1       0       0       1       0       0       1       0
   [5,]       0       1       0       1       1       0       1       1       0
   [6,]       0       1       0       0       0       0       0       0       1
   [7,]       0       1       0       1       1       0       0       1       0
   [8,]       0       1       0       0       1       0       0       0       0
   [9,]       0       1       0       1       0       0       0       1       0
  [10,]       1       0       0       1       1       0       0       1       0
        [,7127] [,7128] [,7129] [,7130] [,7131] [,7132] [,7133] [,7134] [,7135]
   [1,]       1       1       0       1       0       1       0       0       0
   [2,]       1       0       0       0       1       0       1       0       0
   [3,]       0       0       1       0       1       1       0       1       1
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       1       1       0       0       0       1       1       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       0       0       0       0       1       0       0       0
   [8,]       0       0       1       0       0       1       0       1       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       1       1       0       0       1       0       1
        [,7136] [,7137] [,7138] [,7139] [,7140] [,7141] [,7142] [,7143] [,7144]
   [1,]       1       1       0       0       1       0       1       1       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       0       0       0       1       0       1       1       0
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       0       0       1       0       0       0       0       1       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       1       0       0       0       1       0       0       0       0
   [9,]       1       1       0       0       0       0       0       0       1
  [10,]       0       1       1       1       0       0       1       0       1
        [,7145] [,7146] [,7147] [,7148] [,7149] [,7150] [,7151] [,7152] [,7153]
   [1,]       0       1       0       0       1       0       0       0       0
   [2,]       0       0       1       1       1       1       0       0       1
   [3,]       0       1       0       1       0       0       1       0       1
   [4,]       0       1       1       0       0       0       0       0       0
   [5,]       0       0       0       0       0       1       0       0       1
   [6,]       0       1       1       1       0       0       0       0       1
   [7,]       1       0       0       1       1       0       1       1       0
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       1       0       0       1       0       1       0       0
  [10,]       0       1       0       1       0       0       0       0       0
        [,7154] [,7155] [,7156] [,7157] [,7158] [,7159] [,7160] [,7161] [,7162]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       1       1       1       1       1       0       1       0       1
   [6,]       0       1       0       1       0       0       0       1       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       1       0       0       0       1       0       1       1
   [9,]       0       1       0       1       1       1       0       0       0
  [10,]       0       1       0       0       0       0       0       0       1
        [,7163] [,7164] [,7165] [,7166] [,7167] [,7168] [,7169] [,7170] [,7171]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       0       0       1       1       0       1       1       1
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       0       0       1       0       1       0       1
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       1       0       0       0       0       0       0       0       1
   [8,]       0       0       0       0       0       1       1       1       0
   [9,]       0       1       0       0       0       1       0       0       0
  [10,]       0       0       0       0       1       1       0       1       0
        [,7172] [,7173] [,7174] [,7175] [,7176] [,7177] [,7178] [,7179] [,7180]
   [1,]       1       0       0       1       1       0       0       1       0
   [2,]       0       0       1       1       0       0       0       0       0
   [3,]       1       0       1       0       0       0       0       0       1
   [4,]       0       0       1       0       0       1       0       0       0
   [5,]       0       1       1       0       0       0       0       0       0
   [6,]       0       0       0       0       1       0       0       1       0
   [7,]       0       0       0       0       0       1       0       0       1
   [8,]       1       1       0       1       1       1       0       0       0
   [9,]       0       1       0       0       1       0       1       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,7181] [,7182] [,7183] [,7184] [,7185] [,7186] [,7187] [,7188] [,7189]
   [1,]       0       1       0       0       0       1       1       0       0
   [2,]       0       1       1       0       0       0       0       1       0
   [3,]       0       0       1       0       0       0       0       0       1
   [4,]       1       0       0       1       0       0       0       0       1
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       1       0       0       0       0       0       1       1
   [9,]       1       0       1       0       0       0       1       1       0
  [10,]       1       0       1       0       0       0       0       0       0
        [,7190] [,7191] [,7192] [,7193] [,7194] [,7195] [,7196] [,7197] [,7198]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       1       0       1       1       1       1       0       0
   [3,]       0       1       0       0       0       1       0       0       0
   [4,]       0       1       0       0       0       1       0       0       0
   [5,]       0       0       0       0       0       1       0       0       1
   [6,]       0       1       1       0       1       1       0       0       0
   [7,]       0       0       1       0       0       0       0       1       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       0       0       0       0       1       1       0
  [10,]       0       0       0       1       1       0       1       1       1
        [,7199] [,7200] [,7201] [,7202] [,7203] [,7204] [,7205] [,7206] [,7207]
   [1,]       1       1       0       0       0       0       0       0       0
   [2,]       0       0       1       0       1       0       0       0       0
   [3,]       0       1       0       0       1       0       0       0       1
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       0       0       0       0       0       1       1       0       0
   [6,]       1       0       0       1       0       0       1       1       0
   [7,]       1       0       0       0       1       0       0       0       0
   [8,]       0       1       0       1       0       0       0       0       0
   [9,]       0       0       0       1       0       1       0       1       0
  [10,]       1       0       1       1       1       0       0       1       1
        [,7208] [,7209] [,7210] [,7211] [,7212] [,7213] [,7214] [,7215] [,7216]
   [1,]       1       1       0       1       0       0       0       0       1
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       1       0       1       1       1       1       0
   [6,]       1       0       0       0       1       0       1       0       0
   [7,]       0       1       0       0       1       0       0       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       0       1       1       1       0       0       0
  [10,]       1       1       1       0       0       1       1       1       0
        [,7217] [,7218] [,7219] [,7220] [,7221] [,7222] [,7223] [,7224] [,7225]
   [1,]       0       0       0       0       1       0       0       0       1
   [2,]       0       1       0       1       0       0       0       0       0
   [3,]       0       0       0       0       0       1       1       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       1       0       0       0       0       1       1       0
   [6,]       1       0       0       0       0       0       0       0       1
   [7,]       1       0       0       0       0       0       0       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       0       0       1       0       0       1
  [10,]       0       1       0       0       0       0       0       1       0
        [,7226] [,7227] [,7228] [,7229] [,7230] [,7231] [,7232] [,7233] [,7234]
   [1,]       0       1       0       0       0       1       0       1       0
   [2,]       0       0       0       1       0       0       1       0       0
   [3,]       1       1       0       1       0       0       0       0       0
   [4,]       0       0       1       0       1       0       0       0       1
   [5,]       1       1       0       1       0       0       0       0       0
   [6,]       0       1       1       0       0       0       0       0       0
   [7,]       0       0       1       0       1       1       0       0       1
   [8,]       0       0       1       1       0       1       0       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       0       1       1       0       0       0       1
        [,7235] [,7236] [,7237] [,7238] [,7239] [,7240] [,7241] [,7242] [,7243]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       0       0       1       0       1
   [3,]       1       0       0       0       1       0       0       0       0
   [4,]       0       0       1       0       0       0       0       0       1
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       1       1       0       1       1       0       0       1
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       1       0       0       1
  [10,]       0       0       0       0       0       1       0       0       0
        [,7244] [,7245] [,7246] [,7247] [,7248] [,7249] [,7250] [,7251] [,7252]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       1       0       0       0       1       0       0       0
   [3,]       0       0       0       0       0       1       0       1       0
   [4,]       0       1       1       0       0       1       0       1       0
   [5,]       0       0       0       0       0       0       1       0       1
   [6,]       0       0       0       0       1       0       0       1       0
   [7,]       0       1       0       1       0       1       0       0       1
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       1       0       0       0       1       0       0       1       0
  [10,]       1       0       1       0       0       0       0       1       1
        [,7253] [,7254] [,7255] [,7256] [,7257] [,7258] [,7259] [,7260] [,7261]
   [1,]       1       0       0       0       0       0       0       1       0
   [2,]       0       0       1       0       0       1       0       1       1
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       1       0       0       1       0       0       0       0
   [7,]       0       0       1       0       0       0       1       0       0
   [8,]       0       0       0       1       0       0       1       0       0
   [9,]       1       1       0       0       0       1       1       1       0
  [10,]       0       0       0       0       0       1       0       0       1
        [,7262] [,7263] [,7264] [,7265] [,7266] [,7267] [,7268] [,7269] [,7270]
   [1,]       0       1       0       0       1       0       0       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       1       0       0       0       0       0       1       0
   [4,]       0       1       0       0       1       0       0       0       0
   [5,]       1       0       1       0       0       0       0       1       0
   [6,]       0       1       1       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       0       1       0       0       0       0       0
   [9,]       0       0       1       0       0       0       0       0       1
  [10,]       1       0       0       0       0       0       0       1       0
        [,7271] [,7272] [,7273] [,7274] [,7275] [,7276] [,7277] [,7278] [,7279]
   [1,]       0       0       0       0       1       1       0       0       1
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       1       1       1       0       1
   [4,]       1       1       1       0       1       0       0       0       0
   [5,]       0       1       1       1       0       0       0       0       1
   [6,]       1       1       0       0       0       0       1       0       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       0       0       1       0       0       1       1
   [9,]       0       0       0       0       1       0       0       1       1
  [10,]       1       0       1       0       0       0       0       0       1
        [,7280] [,7281] [,7282] [,7283] [,7284] [,7285] [,7286] [,7287] [,7288]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       0       0       0       1       0       1       1       1
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       1       1       1       0       0       0       0       0
   [5,]       0       1       0       0       0       0       1       1       0
   [6,]       1       0       0       1       0       0       0       0       0
   [7,]       1       0       1       0       0       0       0       0       1
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,7289] [,7290] [,7291] [,7292] [,7293] [,7294] [,7295] [,7296] [,7297]
   [1,]       0       0       1       0       1       1       0       1       0
   [2,]       0       0       0       1       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       1       0       1       1       1       0
   [5,]       0       1       0       0       1       1       0       0       0
   [6,]       0       1       0       1       0       1       1       0       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       1       0       0       1       1       0       0
   [9,]       0       1       0       1       0       0       0       0       0
  [10,]       0       0       1       1       1       0       0       0       0
        [,7298] [,7299] [,7300] [,7301] [,7302] [,7303] [,7304] [,7305] [,7306]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       1       0       1       0       0       0       0       1
   [4,]       0       1       1       0       1       0       0       0       0
   [5,]       0       1       0       0       0       0       1       1       0
   [6,]       1       0       1       1       0       1       0       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       1       0       0       0       1       1       0       0       0
  [10,]       0       1       0       0       1       1       1       0       0
        [,7307] [,7308] [,7309] [,7310] [,7311] [,7312] [,7313] [,7314] [,7315]
   [1,]       1       1       0       0       0       0       0       0       0
   [2,]       1       0       1       1       0       0       1       0       0
   [3,]       0       1       0       1       0       0       1       0       0
   [4,]       0       0       1       0       0       1       0       0       0
   [5,]       0       0       0       0       1       0       1       0       0
   [6,]       0       0       0       1       1       1       0       1       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       1       1       1       1       1       0       0       1       0
   [9,]       0       0       0       1       0       0       0       0       1
  [10,]       1       0       0       0       0       1       0       0       0
        [,7316] [,7317] [,7318] [,7319] [,7320] [,7321] [,7322] [,7323] [,7324]
   [1,]       0       0       0       0       0       1       1       0       0
   [2,]       0       1       0       0       1       1       0       0       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       1       0       0       1       0       1       1       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       1       1       0       0       1       1       0       0       0
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       0       1       0       0       1       0       0       0       0
   [9,]       0       0       0       1       0       0       0       0       1
  [10,]       0       0       0       0       1       1       0       0       0
        [,7325] [,7326] [,7327] [,7328] [,7329] [,7330] [,7331] [,7332] [,7333]
   [1,]       0       0       0       1       0       0       0       1       0
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       1       0       0       1       0       1       1       1       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       0       1       1       0       0       0       0       0
   [6,]       1       0       0       0       1       0       0       0       1
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       1       1       1       1       0       1       0       1       0
  [10,]       0       0       1       0       0       0       1       0       0
        [,7334] [,7335] [,7336] [,7337] [,7338] [,7339] [,7340] [,7341] [,7342]
   [1,]       0       1       0       0       1       0       0       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       1       0       1       0       0       0       0       0
   [4,]       1       0       0       1       0       1       0       0       0
   [5,]       1       1       0       1       0       1       0       0       0
   [6,]       0       0       0       0       1       1       0       0       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       1       1       1       0       0       0       0       0       0
   [9,]       1       0       1       0       1       1       0       0       0
  [10,]       0       0       0       1       0       1       0       0       0
        [,7343] [,7344] [,7345] [,7346] [,7347] [,7348] [,7349] [,7350] [,7351]
   [1,]       1       1       0       0       0       0       1       0       0
   [2,]       1       0       0       0       0       0       1       0       0
   [3,]       0       1       1       0       0       1       0       0       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       0       0       0       1       0       1       0       0       1
   [6,]       0       0       0       0       1       0       1       0       0
   [7,]       1       0       1       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       1       0       0       1       1       0       0       0
        [,7352] [,7353] [,7354] [,7355] [,7356] [,7357] [,7358] [,7359] [,7360]
   [1,]       1       1       0       0       1       0       0       1       0
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       0       1       1       1       0       0       0
   [4,]       0       0       0       0       0       1       1       0       1
   [5,]       0       0       0       0       1       0       0       0       1
   [6,]       0       1       0       1       0       0       0       0       1
   [7,]       0       0       1       1       0       0       0       1       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       1       0       1       0       0       0       0       1       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,7361] [,7362] [,7363] [,7364] [,7365] [,7366] [,7367] [,7368] [,7369]
   [1,]       0       0       1       0       0       1       1       0       1
   [2,]       0       0       0       0       1       0       1       0       1
   [3,]       1       0       0       0       0       0       0       0       1
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       1       0       0       0       1       0       1       0
   [6,]       0       0       0       0       0       1       0       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       0       0       1       0       0       0       0       0
   [9,]       0       0       1       0       0       0       0       1       1
  [10,]       1       0       1       1       0       0       0       0       0
        [,7370] [,7371] [,7372] [,7373] [,7374] [,7375] [,7376] [,7377] [,7378]
   [1,]       0       0       1       0       0       0       0       1       1
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       0       0       0       0       1       1       1       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       1       1       0       0       1       0       0       0       0
   [8,]       0       0       1       0       0       0       0       1       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       1       1
        [,7379] [,7380] [,7381] [,7382] [,7383] [,7384] [,7385] [,7386] [,7387]
   [1,]       0       1       0       0       0       0       0       0       1
   [2,]       0       1       0       0       0       1       0       0       1
   [3,]       0       0       0       0       1       0       1       1       1
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       1       0       1       0       0       0       0       0       0
   [6,]       0       1       0       0       0       1       0       0       1
   [7,]       0       1       0       0       0       1       0       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       1       0       0       0       1       1       0       0
        [,7388] [,7389] [,7390] [,7391] [,7392] [,7393] [,7394] [,7395] [,7396]
   [1,]       1       1       1       0       1       0       0       0       0
   [2,]       0       0       1       1       0       0       0       0       0
   [3,]       0       0       1       1       0       1       0       1       1
   [4,]       1       0       1       0       0       0       0       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       1       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       1       1       0
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,7397] [,7398] [,7399] [,7400] [,7401] [,7402] [,7403] [,7404] [,7405]
   [1,]       0       0       0       0       1       0       0       1       0
   [2,]       0       0       0       1       1       1       0       1       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       1       0       1       0       0       0       0       0
   [5,]       0       0       1       1       0       0       0       0       1
   [6,]       0       0       0       0       0       1       0       0       1
   [7,]       0       0       1       0       1       0       0       0       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       0       0       0       0       1       1       0       0
  [10,]       0       0       0       0       0       1       1       0       1
        [,7406] [,7407] [,7408] [,7409] [,7410] [,7411] [,7412] [,7413] [,7414]
   [1,]       0       0       0       0       1       0       1       0       1
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       1       0       0       0       1       0       1       1
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       1       1       0       1       0       1       0       1
   [6,]       1       1       0       1       0       0       0       0       1
   [7,]       0       1       0       1       0       1       1       0       0
   [8,]       1       0       0       0       0       0       1       0       1
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       1       1       0       0       0       1       0
        [,7415] [,7416] [,7417] [,7418] [,7419] [,7420] [,7421] [,7422] [,7423]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       1       1       0       0       0       1       0       1       0
   [3,]       1       0       0       0       0       1       1       0       1
   [4,]       0       0       0       1       0       1       0       0       1
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       1       0       1       1       0       0       0       0       0
   [7,]       1       0       0       0       0       0       1       0       1
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       0       1       0       1       0       0       0       0
  [10,]       0       0       0       0       1       1       0       0       0
        [,7424] [,7425] [,7426] [,7427] [,7428] [,7429] [,7430] [,7431] [,7432]
   [1,]       0       1       1       0       0       0       0       0       0
   [2,]       0       0       0       1       1       0       1       1       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       1       0       0       0       0       1       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       1       1       0       0       1       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       1       0       0       0       0       0       1       0
   [9,]       1       0       1       0       0       0       0       0       0
  [10,]       0       0       1       0       0       1       0       0       0
        [,7433] [,7434] [,7435] [,7436] [,7437] [,7438] [,7439] [,7440] [,7441]
   [1,]       0       0       0       0       0       1       1       1       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       0       0       0       0       0       0       1       0       1
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       1       0       1       0       0       1       0       0
   [7,]       1       0       0       0       1       0       1       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       1       0       0       0       0       0       0       0
  [10,]       0       0       0       1       1       1       0       0       1
        [,7442] [,7443] [,7444] [,7445] [,7446] [,7447] [,7448] [,7449] [,7450]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       0       1       0       1       0
   [3,]       0       0       0       1       0       1       0       0       0
   [4,]       0       0       0       1       1       0       0       0       0
   [5,]       1       0       0       0       0       0       1       0       0
   [6,]       0       0       0       1       1       0       0       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       1       0       0       0       0       0       0       1
   [9,]       0       0       0       0       0       1       0       0       1
  [10,]       0       0       1       0       0       0       0       0       0
        [,7451] [,7452] [,7453] [,7454] [,7455] [,7456] [,7457] [,7458] [,7459]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       1       0       1       0       0       0       0       0       0
   [3,]       0       0       1       1       0       0       0       0       0
   [4,]       0       1       0       0       0       0       0       1       1
   [5,]       0       0       1       1       0       0       0       1       1
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       1       0       0       1       1       0       0       1
   [9,]       0       0       1       0       0       0       1       1       0
  [10,]       0       0       1       0       1       1       0       0       1
        [,7460] [,7461] [,7462] [,7463] [,7464] [,7465] [,7466] [,7467] [,7468]
   [1,]       0       0       1       0       0       0       0       1       1
   [2,]       0       1       0       1       1       1       0       0       0
   [3,]       0       1       0       0       0       0       1       1       1
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       1       0       0       0       1       1       1       0       1
   [7,]       1       0       0       0       0       0       0       1       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       0       1       0       0       0       0       0       1
  [10,]       0       1       0       0       0       1       0       0       0
        [,7469] [,7470] [,7471] [,7472] [,7473] [,7474] [,7475] [,7476] [,7477]
   [1,]       0       0       1       1       0       0       1       0       0
   [2,]       0       0       0       0       0       0       1       0       1
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       1       0       1       0       0       0       0       1
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       1       0       1       1       0       0       1       0
   [7,]       1       1       0       0       0       0       1       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       1       0       1       0       1       0       0       0       0
        [,7478] [,7479] [,7480] [,7481] [,7482] [,7483] [,7484] [,7485] [,7486]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       1       0       1       0       0       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       1       0       0       0       1       0       0       0       0
   [7,]       1       0       0       1       1       0       0       0       0
   [8,]       1       0       0       0       0       0       0       0       1
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       1       0       1       0       0       0       0       0       1
        [,7487] [,7488] [,7489] [,7490] [,7491] [,7492] [,7493] [,7494] [,7495]
   [1,]       0       0       0       1       0       1       0       1       0
   [2,]       0       0       0       1       1       0       1       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       1       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       0       0       0       0       0       1       1       0
   [9,]       0       1       0       0       1       0       0       1       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,7496] [,7497] [,7498] [,7499] [,7500] [,7501] [,7502] [,7503] [,7504]
   [1,]       0       1       0       0       1       1       0       0       0
   [2,]       1       1       1       0       1       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       1       1       0       1       0       0       0       0
   [5,]       0       0       0       0       1       0       1       1       0
   [6,]       0       0       1       0       1       0       0       0       0
   [7,]       0       1       0       1       1       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       0       0       0       0       1       0       1       0
  [10,]       1       1       0       0       0       1       0       1       1
        [,7505] [,7506] [,7507] [,7508] [,7509] [,7510] [,7511] [,7512] [,7513]
   [1,]       0       0       1       0       0       0       0       0       1
   [2,]       0       0       0       1       0       1       1       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       1       1       0       0       1       1       1
   [5,]       0       1       0       0       0       0       1       0       0
   [6,]       0       0       0       0       1       0       1       0       1
   [7,]       1       1       1       0       0       1       0       1       1
   [8,]       0       1       1       1       1       0       0       1       1
   [9,]       0       0       0       1       0       0       0       0       1
  [10,]       0       0       0       1       0       0       0       0       0
        [,7514] [,7515] [,7516] [,7517] [,7518] [,7519] [,7520] [,7521] [,7522]
   [1,]       1       0       0       0       0       1       0       1       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       1       0       1       0       1       0       1       0       0
   [5,]       0       0       0       0       1       1       0       0       0
   [6,]       0       0       0       1       1       0       0       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       1       0       1       1       0       1       1       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,7523] [,7524] [,7525] [,7526] [,7527] [,7528] [,7529] [,7530] [,7531]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       0       0       1       0       1       0       0
   [3,]       0       0       1       0       1       0       1       0       0
   [4,]       0       1       1       0       0       0       1       1       0
   [5,]       0       1       0       1       0       0       0       0       0
   [6,]       0       0       1       0       0       1       1       1       1
   [7,]       1       0       1       0       1       1       0       0       1
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       1       0       1       0       0       0       0       0       0
  [10,]       0       0       1       0       0       0       0       1       0
        [,7532] [,7533] [,7534] [,7535] [,7536] [,7537] [,7538] [,7539] [,7540]
   [1,]       1       0       1       1       1       0       0       0       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       1       0       0       0       1       0       1       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       1       0       0       0       1       0       0       0       0
   [7,]       0       0       0       1       0       1       1       0       1
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       0       1       0       0       0       1       1       0       0
  [10,]       0       0       0       1       0       1       0       0       0
        [,7541] [,7542] [,7543] [,7544] [,7545] [,7546] [,7547] [,7548] [,7549]
   [1,]       0       1       0       1       0       0       0       1       1
   [2,]       0       0       1       1       1       0       1       1       0
   [3,]       0       1       0       1       1       1       0       0       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       0       1       1       0       1       0       1       0       0
   [7,]       1       0       0       0       0       0       0       0       1
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       1
        [,7550] [,7551] [,7552] [,7553] [,7554] [,7555] [,7556] [,7557] [,7558]
   [1,]       1       0       1       0       0       1       0       1       0
   [2,]       0       0       0       0       1       0       1       0       0
   [3,]       0       0       0       0       1       0       0       1       0
   [4,]       0       0       1       1       1       0       1       0       0
   [5,]       0       0       1       0       0       0       0       1       1
   [6,]       0       0       0       1       0       1       0       0       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       1       0       1       0       0       0       0       1
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       1       0       0       1       0       1       0       0
        [,7559] [,7560] [,7561] [,7562] [,7563] [,7564] [,7565] [,7566] [,7567]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       1       0       0       0       1       0       0       0
   [3,]       0       1       0       0       0       0       0       0       1
   [4,]       0       0       0       0       1       0       0       0       1
   [5,]       0       1       0       1       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       0       0       1       1       0       0       0       1
   [8,]       0       0       0       0       0       0       0       1       1
   [9,]       0       1       1       1       1       1       0       0       0
  [10,]       0       1       0       1       0       0       0       1       0
        [,7568] [,7569] [,7570] [,7571] [,7572] [,7573] [,7574] [,7575] [,7576]
   [1,]       0       0       0       0       1       0       1       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       0       0       1       1       0       0       0       1
   [4,]       1       0       0       0       1       0       0       1       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       0       0       0       1       1       0       0       0
   [7,]       1       0       0       0       0       0       1       0       0
   [8,]       0       1       0       1       1       0       0       1       0
   [9,]       0       0       1       0       0       0       0       0       1
  [10,]       0       0       0       0       0       1       0       1       0
        [,7577] [,7578] [,7579] [,7580] [,7581] [,7582] [,7583] [,7584] [,7585]
   [1,]       0       0       0       0       0       0       1       0       1
   [2,]       0       0       0       0       1       1       1       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       0       0       0       1       0       0       0       0
   [5,]       0       0       1       0       0       0       0       1       0
   [6,]       0       0       1       1       0       1       0       0       1
   [7,]       0       0       0       0       0       1       0       0       1
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       1       1       1       0       1       1       0       0       0
  [10,]       0       0       0       0       0       1       0       0       1
        [,7586] [,7587] [,7588] [,7589] [,7590] [,7591] [,7592] [,7593] [,7594]
   [1,]       0       0       0       1       0       0       1       1       1
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       1       0       1       0       0       0       0       1
   [4,]       0       0       1       0       0       1       1       1       0
   [5,]       0       0       0       1       1       1       0       0       0
   [6,]       0       0       0       0       1       0       1       0       1
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       0       0       1       1       0       1       1
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       0       1       0       0       0       0       1
        [,7595] [,7596] [,7597] [,7598] [,7599] [,7600] [,7601] [,7602] [,7603]
   [1,]       1       0       0       0       0       0       1       0       0
   [2,]       1       0       0       0       1       0       1       0       0
   [3,]       1       1       0       0       0       0       0       1       0
   [4,]       0       0       0       0       0       0       1       0       1
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       1       0       0       0       0       0       1       1       0
   [7,]       1       0       0       0       1       0       0       1       0
   [8,]       0       0       0       0       1       0       0       1       0
   [9,]       1       0       1       0       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,7604] [,7605] [,7606] [,7607] [,7608] [,7609] [,7610] [,7611] [,7612]
   [1,]       0       1       0       1       1       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       0       0       1       1       0       1       0       1
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       1       0       0       0       0
   [8,]       0       0       0       1       1       0       0       0       0
   [9,]       0       1       0       0       0       0       0       0       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,7613] [,7614] [,7615] [,7616] [,7617] [,7618] [,7619] [,7620] [,7621]
   [1,]       0       0       1       0       1       1       0       0       1
   [2,]       0       0       0       1       0       0       0       1       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       0       0       1       1       1       0       0       0
   [5,]       1       0       1       0       0       0       0       0       0
   [6,]       0       0       0       1       0       0       0       1       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       1       0       0       0       0       0       1
   [9,]       0       0       0       0       0       0       1       1       1
  [10,]       0       0       1       0       0       0       0       0       0
        [,7622] [,7623] [,7624] [,7625] [,7626] [,7627] [,7628] [,7629] [,7630]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       1       0       0       1       0       0       0       1
   [3,]       0       0       0       0       0       0       1       0       1
   [4,]       0       1       1       1       1       0       0       0       1
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       1       1       0       0       0
   [8,]       1       0       0       0       0       1       0       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,7631] [,7632] [,7633] [,7634] [,7635] [,7636] [,7637] [,7638] [,7639]
   [1,]       1       0       0       1       0       0       1       0       0
   [2,]       1       1       1       0       0       0       1       0       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       1       0       1       0       0
   [5,]       0       0       1       1       0       1       0       0       1
   [6,]       1       0       1       0       0       1       1       0       0
   [7,]       0       0       0       0       1       1       1       0       1
   [8,]       0       1       0       1       1       0       1       0       0
   [9,]       1       1       0       0       1       0       0       0       1
  [10,]       1       0       0       0       0       0       0       1       0
        [,7640] [,7641] [,7642] [,7643] [,7644] [,7645] [,7646] [,7647] [,7648]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       1       0       0       0       0       1       0
   [3,]       0       0       0       1       0       1       0       0       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       1       1       0       0       0       1       0       0
   [6,]       1       0       0       0       1       0       0       0       0
   [7,]       0       0       1       0       0       0       0       1       0
   [8,]       0       0       0       1       0       0       0       1       0
   [9,]       0       0       0       0       1       0       0       1       0
  [10,]       1       0       0       0       0       0       0       1       0
        [,7649] [,7650] [,7651] [,7652] [,7653] [,7654] [,7655] [,7656] [,7657]
   [1,]       0       1       0       0       0       1       0       0       0
   [2,]       0       0       0       0       0       0       0       1       1
   [3,]       0       0       1       0       0       0       1       0       0
   [4,]       1       1       0       0       1       0       1       1       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       1       0       0       1       0       0       1       0
   [7,]       0       1       1       0       0       0       1       0       0
   [8,]       0       0       0       0       0       1       0       1       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,7658] [,7659] [,7660] [,7661] [,7662] [,7663] [,7664] [,7665] [,7666]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       0       1       0       1       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       1       0       0       0       0       0       0       1
   [6,]       0       0       1       1       0       1       0       0       0
   [7,]       0       0       0       1       1       1       0       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       1       1       0       1       1       0       0
  [10,]       0       0       1       0       1       0       0       0       1
        [,7667] [,7668] [,7669] [,7670] [,7671] [,7672] [,7673] [,7674] [,7675]
   [1,]       0       0       0       1       0       1       0       0       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       1       0       0       1       1       0       1       0
   [4,]       0       0       0       1       0       1       0       1       1
   [5,]       0       0       0       1       1       1       1       0       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       1       0       0       1       0       0       0       0
   [8,]       0       0       1       0       0       0       0       0       1
   [9,]       1       0       0       1       0       1       0       0       0
  [10,]       1       0       0       0       1       1       0       0       0
        [,7676] [,7677] [,7678] [,7679] [,7680] [,7681] [,7682] [,7683] [,7684]
   [1,]       1       0       1       0       0       0       0       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       1       0       0       1       0       0       0
   [4,]       0       0       0       0       0       0       1       1       1
   [5,]       0       1       1       0       0       1       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       1       1       0       1       0       0       0       0       1
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       1       1       0       0       1       0       0       0       0
  [10,]       0       0       0       1       0       1       0       0       1
        [,7685] [,7686] [,7687] [,7688] [,7689] [,7690] [,7691] [,7692] [,7693]
   [1,]       0       0       0       1       1       0       1       1       0
   [2,]       0       1       0       0       0       1       0       0       0
   [3,]       0       0       0       1       0       0       0       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       1       0       0       0       1       0       1       0
   [6,]       0       0       0       1       0       1       0       0       0
   [7,]       0       1       0       0       0       0       0       1       0
   [8,]       1       0       1       0       0       0       0       0       1
   [9,]       0       1       0       1       0       0       0       0       0
  [10,]       1       0       0       1       0       1       0       0       0
        [,7694] [,7695] [,7696] [,7697] [,7698] [,7699] [,7700] [,7701] [,7702]
   [1,]       1       0       1       1       0       0       0       0       1
   [2,]       0       0       0       0       0       0       0       1       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       1       1       0       0       0       0       1       1       0
   [6,]       0       0       1       1       1       1       0       0       1
   [7,]       0       0       1       0       1       1       0       0       0
   [8,]       1       0       0       0       0       0       0       1       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       1       0       0       0       1       1       0
        [,7703] [,7704] [,7705] [,7706] [,7707] [,7708] [,7709] [,7710] [,7711]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       1       0       0       0       1       1       1       0
   [4,]       0       0       1       0       1       0       0       0       1
   [5,]       1       1       0       0       0       0       0       0       0
   [6,]       0       1       0       0       0       1       0       1       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       1       0       0       1       0       1       0       0       0
   [9,]       0       0       0       1       0       0       1       0       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,7712] [,7713] [,7714] [,7715] [,7716] [,7717] [,7718] [,7719] [,7720]
   [1,]       1       0       0       1       0       0       1       0       0
   [2,]       1       1       0       0       0       0       1       1       0
   [3,]       1       0       0       1       0       0       0       1       1
   [4,]       1       0       0       0       1       0       1       0       0
   [5,]       1       0       0       1       0       0       1       0       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       1       0       0       1       0       1       0       1       0
   [8,]       1       0       0       0       0       1       1       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       1       1       1       0       1       0       0
        [,7721] [,7722] [,7723] [,7724] [,7725] [,7726] [,7727] [,7728] [,7729]
   [1,]       1       0       0       1       0       0       0       0       0
   [2,]       1       1       0       1       1       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       1       0       0       1       0       0       0       0
   [6,]       0       1       0       1       0       0       0       0       0
   [7,]       1       0       1       0       0       1       1       0       0
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       0       1       0       0       0       0       1       1       1
  [10,]       0       0       0       0       0       0       0       0       1
        [,7730] [,7731] [,7732] [,7733] [,7734] [,7735] [,7736] [,7737] [,7738]
   [1,]       0       0       1       1       1       0       1       1       1
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       1       0       0       1       1       0       1       0
   [5,]       0       0       0       0       1       1       1       0       1
   [6,]       0       1       0       1       1       0       0       0       0
   [7,]       0       0       1       1       0       0       1       0       0
   [8,]       0       0       0       0       1       0       0       0       1
   [9,]       0       0       0       1       0       0       0       0       1
  [10,]       0       1       0       0       0       0       1       1       0
        [,7739] [,7740] [,7741] [,7742] [,7743] [,7744] [,7745] [,7746] [,7747]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       1       1       0       1       0       0       0
   [3,]       0       0       0       0       0       0       1       0       1
   [4,]       0       0       1       0       1       0       0       0       1
   [5,]       0       0       1       0       0       1       0       1       0
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       0       1       0       0       0       1       0       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       1       0       0       0       0       1       1       0
  [10,]       0       1       0       0       0       0       0       0       1
        [,7748] [,7749] [,7750] [,7751] [,7752] [,7753] [,7754] [,7755] [,7756]
   [1,]       1       0       0       0       1       1       0       0       1
   [2,]       1       1       0       0       0       1       0       1       0
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       1       0       1       0       0       0       0       0       1
   [5,]       1       1       0       0       1       0       1       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       1       0       1       1       0       1
   [9,]       0       1       1       0       0       0       0       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,7757] [,7758] [,7759] [,7760] [,7761] [,7762] [,7763] [,7764] [,7765]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       1       0       1       0       0       0       1       0
   [3,]       0       0       0       0       1       1       0       1       0
   [4,]       1       0       1       0       1       0       1       0       0
   [5,]       1       0       0       0       0       1       0       0       1
   [6,]       0       0       1       0       1       0       0       1       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       0       0       0       0       1       0       0       1
   [9,]       0       0       1       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,7766] [,7767] [,7768] [,7769] [,7770] [,7771] [,7772] [,7773] [,7774]
   [1,]       0       1       0       1       0       0       0       0       0
   [2,]       0       0       0       0       1       1       0       1       1
   [3,]       1       0       1       0       0       0       0       0       0
   [4,]       0       0       1       0       0       1       1       0       1
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       0       1       0       0       0       0       0       1       1
   [7,]       0       0       0       0       1       1       0       0       0
   [8,]       0       1       1       0       0       0       0       0       0
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       1       0       1       0
        [,7775] [,7776] [,7777] [,7778] [,7779] [,7780] [,7781] [,7782] [,7783]
   [1,]       0       0       1       1       0       0       0       0       0
   [2,]       1       1       0       0       0       0       1       0       0
   [3,]       0       0       1       1       0       1       0       0       1
   [4,]       0       0       0       1       0       0       0       0       1
   [5,]       1       0       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       1       0       0       0       1       0       0       0       0
   [8,]       0       0       0       1       1       0       0       0       0
   [9,]       0       1       1       0       0       1       0       0       1
  [10,]       1       0       0       0       0       0       0       0       0
        [,7784] [,7785] [,7786] [,7787] [,7788] [,7789] [,7790] [,7791] [,7792]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       1       0       0       0       0       1       0       1
   [3,]       0       1       0       0       0       0       1       0       0
   [4,]       0       1       1       0       0       0       0       0       0
   [5,]       0       0       0       0       1       0       0       0       1
   [6,]       0       1       0       0       0       0       0       0       1
   [7,]       1       0       1       0       1       0       0       0       1
   [8,]       0       0       1       0       0       0       0       0       1
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       1       1       0       1       0       0       0       1
        [,7793] [,7794] [,7795] [,7796] [,7797] [,7798] [,7799] [,7800] [,7801]
   [1,]       0       0       0       0       1       0       0       1       0
   [2,]       0       1       0       0       0       0       0       1       0
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       1       0       0       0       0       1       0       0       0
   [5,]       0       0       1       0       0       0       1       1       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       0       1       1       0       0       0       0
   [8,]       0       1       0       0       1       0       0       0       0
   [9,]       1       0       1       0       0       0       0       0       1
  [10,]       0       0       0       0       0       1       1       0       0
        [,7802] [,7803] [,7804] [,7805] [,7806] [,7807] [,7808] [,7809] [,7810]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       0       1       1       0       0       0       1
   [3,]       0       0       1       1       1       0       0       0       1
   [4,]       0       0       0       1       1       0       0       1       0
   [5,]       0       1       0       0       0       0       0       0       0
   [6,]       0       0       0       0       1       1       0       1       0
   [7,]       0       0       0       1       0       1       0       0       1
   [8,]       1       0       0       0       0       0       0       0       1
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       1       0       0       0       0       0       0       0       0
        [,7811] [,7812] [,7813] [,7814] [,7815] [,7816] [,7817] [,7818] [,7819]
   [1,]       0       0       0       1       0       0       1       0       1
   [2,]       1       0       0       1       0       0       1       0       0
   [3,]       0       0       0       1       0       1       1       0       0
   [4,]       0       0       0       0       1       1       0       0       0
   [5,]       0       1       0       1       1       0       1       1       1
   [6,]       0       1       0       0       0       0       0       0       1
   [7,]       1       1       0       0       1       0       0       0       0
   [8,]       0       1       0       1       1       0       1       1       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       1       0       0       1       0       1
        [,7820] [,7821] [,7822] [,7823] [,7824] [,7825] [,7826] [,7827] [,7828]
   [1,]       0       0       0       0       0       1       1       0       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       0       0       0       0       0       1       1       0
   [4,]       0       0       0       0       1       1       0       1       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       1       0       0       0       1       0       1       1
   [7,]       0       0       0       1       0       0       1       0       0
   [8,]       0       0       1       0       0       0       1       1       1
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       1       0       1       0       1       0       1       0
        [,7829] [,7830] [,7831] [,7832] [,7833] [,7834] [,7835] [,7836] [,7837]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       0       1       0
   [3,]       0       0       0       0       1       0       1       0       0
   [4,]       0       0       0       0       0       1       0       1       0
   [5,]       0       0       1       0       0       0       0       1       0
   [6,]       0       1       0       1       1       1       0       0       0
   [7,]       1       0       0       0       0       1       0       1       0
   [8,]       0       0       0       1       0       0       1       0       0
   [9,]       0       0       1       0       1       0       0       1       1
  [10,]       0       1       0       0       0       0       1       1       0
        [,7838] [,7839] [,7840] [,7841] [,7842] [,7843] [,7844] [,7845] [,7846]
   [1,]       0       1       0       0       0       0       0       1       0
   [2,]       0       0       1       0       0       1       0       0       1
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       1       0       0       1       1       0       1       0       0
   [8,]       0       1       0       1       1       0       0       0       1
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       0       1       0       0       0       1       0
        [,7847] [,7848] [,7849] [,7850] [,7851] [,7852] [,7853] [,7854] [,7855]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       1       0       0       0       0       0       0       0       1
   [3,]       1       0       0       1       0       1       0       0       0
   [4,]       0       0       1       0       1       1       0       0       0
   [5,]       1       0       0       0       1       0       1       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       1       0       0       0       0       0       0       1       0
  [10,]       0       0       1       0       1       1       0       1       0
        [,7856] [,7857] [,7858] [,7859] [,7860] [,7861] [,7862] [,7863] [,7864]
   [1,]       0       0       0       1       0       0       0       1       0
   [2,]       0       0       0       0       0       1       1       0       0
   [3,]       1       1       1       0       0       1       1       0       0
   [4,]       0       1       0       0       0       0       1       1       1
   [5,]       1       1       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       1       0       1       1       0       1       0
        [,7865] [,7866] [,7867] [,7868] [,7869] [,7870] [,7871] [,7872] [,7873]
   [1,]       0       0       0       0       0       0       1       0       1
   [2,]       0       0       1       0       0       1       1       0       1
   [3,]       1       0       0       1       0       1       1       0       0
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       1       0       0       1       1       1       0       1       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,7874] [,7875] [,7876] [,7877] [,7878] [,7879] [,7880] [,7881] [,7882]
   [1,]       0       0       0       0       1       1       0       1       0
   [2,]       1       0       0       0       0       1       1       1       0
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       1       0       0       0       0       1       0       0       1
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       0       0       1       0       1       1       0       0
   [8,]       0       0       0       0       0       1       1       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       1       0       0       0       1       1       0       0       0
        [,7883] [,7884] [,7885] [,7886] [,7887] [,7888] [,7889] [,7890] [,7891]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       1       0       0
   [3,]       1       0       1       0       0       1       0       0       1
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       1       0       0       1       0       0       1       0
   [7,]       1       0       1       0       0       0       0       0       1
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       0       1       1       0       1       0       1       0       0
  [10,]       0       0       0       1       0       0       0       0       1
        [,7892] [,7893] [,7894] [,7895] [,7896] [,7897] [,7898] [,7899] [,7900]
   [1,]       1       0       0       0       1       0       1       1       1
   [2,]       0       0       1       0       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       1       1       0       1       0       1       1       0       0
   [5,]       1       0       0       1       1       0       0       0       0
   [6,]       1       1       0       0       0       0       1       1       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       1       0       0       0       1       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       0       0       1       0       1       0       0
        [,7901] [,7902] [,7903] [,7904] [,7905] [,7906] [,7907] [,7908] [,7909]
   [1,]       1       0       0       0       0       0       0       1       0
   [2,]       0       1       0       1       0       1       1       1       0
   [3,]       0       1       1       1       1       0       0       0       0
   [4,]       0       0       1       0       1       0       0       0       0
   [5,]       0       0       1       1       1       0       0       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       0       0       1       0       1       0       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       1       0       0       1       0       1       0       1
  [10,]       0       1       1       0       0       0       0       0       1
        [,7910] [,7911] [,7912] [,7913] [,7914] [,7915] [,7916] [,7917] [,7918]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       1       1       0       0       1       1       0       0
   [5,]       0       0       0       0       0       0       0       1       1
   [6,]       0       0       0       0       1       0       0       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       1       0       0       1       0       0
   [9,]       1       0       1       0       1       0       0       0       1
  [10,]       0       1       0       0       1       1       0       0       0
        [,7919] [,7920] [,7921] [,7922] [,7923] [,7924] [,7925] [,7926] [,7927]
   [1,]       1       0       0       1       0       1       0       0       0
   [2,]       0       0       0       1       1       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       0       1       0       0       0       1       0       1       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       1       0       0       0       0       0       1       0
   [7,]       0       1       1       1       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       1       1       1       0
  [10,]       1       0       0       1       0       0       0       0       0
        [,7928] [,7929] [,7930] [,7931] [,7932] [,7933] [,7934] [,7935] [,7936]
   [1,]       0       0       1       1       0       0       1       0       0
   [2,]       0       1       0       0       0       1       0       1       0
   [3,]       1       0       0       0       0       0       0       0       1
   [4,]       0       1       0       1       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       0       0       1       0       0       0       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       1       0       0       1
   [9,]       0       0       1       0       0       1       0       1       0
  [10,]       1       1       0       0       0       1       0       0       0
        [,7937] [,7938] [,7939] [,7940] [,7941] [,7942] [,7943] [,7944] [,7945]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       1       1       0       1       0       0       0       0       0
   [3,]       0       0       0       1       0       0       0       0       1
   [4,]       1       1       0       0       0       0       0       0       0
   [5,]       0       0       1       0       0       0       1       0       0
   [6,]       0       0       0       0       0       1       0       0       1
   [7,]       0       0       0       1       1       0       0       0       0
   [8,]       0       1       1       0       0       1       1       1       0
   [9,]       0       1       0       0       0       0       1       1       0
  [10,]       0       0       1       0       1       0       1       0       0
        [,7946] [,7947] [,7948] [,7949] [,7950] [,7951] [,7952] [,7953] [,7954]
   [1,]       1       0       0       0       1       1       0       0       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       1       0       1       0       1       1
   [4,]       0       0       0       0       0       1       1       1       1
   [5,]       1       1       0       1       0       0       0       0       0
   [6,]       1       1       0       0       1       0       1       0       1
   [7,]       1       0       0       1       1       0       0       1       0
   [8,]       0       0       0       1       0       1       1       0       1
   [9,]       0       0       0       1       0       0       0       1       0
  [10,]       1       0       0       0       0       1       0       1       0
        [,7955] [,7956] [,7957] [,7958] [,7959] [,7960] [,7961] [,7962] [,7963]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       1       1       0       0       0       0       0       0       0
   [3,]       1       1       0       0       0       0       1       0       0
   [4,]       0       1       1       1       0       0       0       0       0
   [5,]       0       1       0       0       0       0       0       1       1
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       1       0       1       0       1       0       0       0       0
   [8,]       1       1       0       0       0       1       0       0       0
   [9,]       0       1       0       0       0       0       0       1       0
  [10,]       0       1       0       0       0       0       0       1       0
        [,7964] [,7965] [,7966] [,7967] [,7968] [,7969] [,7970] [,7971] [,7972]
   [1,]       0       0       0       0       1       0       0       0       1
   [2,]       0       0       1       0       0       0       0       1       1
   [3,]       1       0       0       0       0       1       1       0       0
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       0       0       0       0       1       0       0       1       1
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       1       1       0       0       0       0       0
   [9,]       0       0       1       0       0       0       0       1       0
  [10,]       0       0       1       0       0       1       0       1       1
        [,7973] [,7974] [,7975] [,7976] [,7977] [,7978] [,7979] [,7980] [,7981]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       1
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       0       0       0       1       0       0       1       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       1       0       0       0       1       0       1       0       1
   [8,]       0       1       0       0       0       0       1       0       0
   [9,]       1       0       0       0       0       0       1       0       1
  [10,]       0       0       0       1       0       1       0       0       1
        [,7982] [,7983] [,7984] [,7985] [,7986] [,7987] [,7988] [,7989] [,7990]
   [1,]       0       0       0       1       0       0       0       0       1
   [2,]       0       0       1       0       1       0       1       0       1
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       0       0       1       0       0       1       0       1
   [5,]       0       0       0       1       0       1       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       1       0       1       0       0       0
   [8,]       1       0       0       1       0       0       0       0       0
   [9,]       0       0       1       1       0       1       1       1       0
  [10,]       0       1       0       0       0       0       0       0       1
        [,7991] [,7992] [,7993] [,7994] [,7995] [,7996] [,7997] [,7998] [,7999]
   [1,]       1       0       0       0       0       0       0       1       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       1       0       0       0       0       0       0       1
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       1       1       0       1       0       0       0       0       0
   [6,]       0       1       0       1       0       0       0       1       1
   [7,]       0       1       0       0       0       0       1       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       1       0       0       1       0       0       0
        [,8000] [,8001] [,8002] [,8003] [,8004] [,8005] [,8006] [,8007] [,8008]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       1       0       0       1       1       0       0       0
   [4,]       0       0       1       0       0       0       1       1       0
   [5,]       0       0       0       0       0       1       1       0       1
   [6,]       1       0       1       0       0       0       1       1       1
   [7,]       1       0       1       0       1       0       0       0       0
   [8,]       0       1       1       0       0       1       0       0       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       0       0       0       0       1       0       0       0
        [,8009] [,8010] [,8011] [,8012] [,8013] [,8014] [,8015] [,8016] [,8017]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       0       0       1       1       0       0
   [4,]       0       0       0       0       1       1       0       0       0
   [5,]       0       0       0       0       0       0       1       0       1
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       1       0       1       0       0       0       0       0       0
   [8,]       1       0       0       0       0       1       0       1       0
   [9,]       1       0       0       0       1       0       0       0       0
  [10,]       0       0       0       1       0       0       1       0       0
        [,8018] [,8019] [,8020] [,8021] [,8022] [,8023] [,8024] [,8025] [,8026]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       1       0       0       1       0       1       0       0       1
   [4,]       0       0       0       0       1       0       1       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       1       0       0       0       0       0       1       0
   [7,]       0       0       0       0       0       1       1       0       1
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       1       0       0       0       1       1       0       1       1
  [10,]       1       0       0       0       0       1       0       0       0
        [,8027] [,8028] [,8029] [,8030] [,8031] [,8032] [,8033] [,8034] [,8035]
   [1,]       0       0       0       0       0       0       0       1       1
   [2,]       0       0       0       1       0       0       0       1       1
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       1       0       0       0       0       0       1       0       0
   [5,]       0       0       0       1       0       0       0       0       1
   [6,]       0       0       0       0       1       1       0       0       1
   [7,]       0       0       0       1       0       1       0       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       1       1       1       0       0       1       0       0
  [10,]       1       0       0       0       0       0       0       0       0
        [,8036] [,8037] [,8038] [,8039] [,8040] [,8041] [,8042] [,8043] [,8044]
   [1,]       1       0       1       1       0       0       1       1       0
   [2,]       0       0       0       0       0       1       1       0       1
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       1       1       0       0       0       1       0       0
   [5,]       0       0       0       1       1       0       0       0       0
   [6,]       0       1       1       0       0       0       1       0       0
   [7,]       0       0       0       1       1       0       0       0       0
   [8,]       1       1       0       1       1       1       0       0       1
   [9,]       0       1       1       0       0       0       0       0       0
  [10,]       0       1       0       0       1       0       0       0       0
        [,8045] [,8046] [,8047] [,8048] [,8049] [,8050] [,8051] [,8052] [,8053]
   [1,]       0       0       0       0       0       1       1       0       0
   [2,]       0       0       0       1       0       0       1       0       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       0       1       1       0       0       0       0       1
   [5,]       0       0       1       0       0       0       0       1       0
   [6,]       1       0       0       1       0       0       0       0       0
   [7,]       1       1       0       1       0       1       1       0       0
   [8,]       0       0       1       0       0       0       1       0       0
   [9,]       0       0       1       1       0       0       1       0       0
  [10,]       1       0       0       0       1       1       0       0       0
        [,8054] [,8055] [,8056] [,8057] [,8058] [,8059] [,8060] [,8061] [,8062]
   [1,]       0       0       0       0       1       1       0       0       1
   [2,]       0       0       1       0       1       0       1       1       1
   [3,]       0       0       0       0       0       1       0       0       1
   [4,]       1       0       0       0       1       1       0       1       0
   [5,]       0       0       1       1       0       1       0       0       0
   [6,]       1       0       1       0       1       0       0       0       0
   [7,]       1       0       1       0       0       0       0       0       0
   [8,]       1       0       0       0       0       1       0       0       1
   [9,]       0       1       1       0       0       0       0       1       0
  [10,]       0       0       1       1       0       0       0       0       0
        [,8063] [,8064] [,8065] [,8066] [,8067] [,8068] [,8069] [,8070] [,8071]
   [1,]       0       0       0       1       0       0       0       0       1
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       1       0       1       0       1       0       0
   [4,]       1       0       1       0       0       0       0       0       0
   [5,]       1       0       0       1       0       1       0       0       0
   [6,]       1       0       1       0       0       1       0       0       0
   [7,]       1       1       0       1       0       0       1       0       0
   [8,]       1       0       1       1       0       1       0       0       1
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       1       0       0       0       0       0       0       1       0
        [,8072] [,8073] [,8074] [,8075] [,8076] [,8077] [,8078] [,8079] [,8080]
   [1,]       1       0       1       0       1       1       0       1       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       1       0       0       1       0       0       1       1       0
   [7,]       1       0       1       0       0       1       0       0       0
   [8,]       1       0       0       0       0       0       1       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       1       0       0       0       1       1       0       0       0
        [,8081] [,8082] [,8083] [,8084] [,8085] [,8086] [,8087] [,8088] [,8089]
   [1,]       0       0       0       0       0       1       0       1       0
   [2,]       0       0       0       1       1       1       0       1       0
   [3,]       0       0       0       0       0       1       1       0       0
   [4,]       0       1       0       1       0       0       1       0       1
   [5,]       0       0       1       1       0       0       0       0       0
   [6,]       1       1       1       0       0       0       0       0       0
   [7,]       0       0       0       0       1       1       0       0       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       1       0       1       0       1       0       0
        [,8090] [,8091] [,8092] [,8093] [,8094] [,8095] [,8096] [,8097] [,8098]
   [1,]       1       1       1       1       0       0       1       1       1
   [2,]       0       0       0       0       1       1       1       1       0
   [3,]       0       0       1       1       0       0       1       0       0
   [4,]       0       1       0       0       1       1       0       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       1       0       0       0       1       0       0       0
   [7,]       1       0       0       0       1       0       1       0       0
   [8,]       1       0       0       0       0       1       0       1       0
   [9,]       0       0       0       1       1       0       1       0       0
  [10,]       1       1       0       0       0       0       0       0       0
        [,8099] [,8100] [,8101] [,8102] [,8103] [,8104] [,8105] [,8106] [,8107]
   [1,]       0       0       0       0       0       0       1       1       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       0       1       0       0       1       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       0       0       0       1       0       0       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       1       0       0       0       0       0       0       1       0
  [10,]       0       0       0       0       1       0       0       1       0
        [,8108] [,8109] [,8110] [,8111] [,8112] [,8113] [,8114] [,8115] [,8116]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       1       0       0       0       0       0       0       1
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       1       0       0       1
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       1       1       0       0       1       1       1       0
   [8,]       1       0       0       0       0       0       0       1       0
   [9,]       0       0       0       0       1       1       0       1       0
  [10,]       0       0       1       0       0       0       1       0       0
        [,8117] [,8118] [,8119] [,8120] [,8121] [,8122] [,8123] [,8124] [,8125]
   [1,]       0       1       1       0       0       0       0       0       0
   [2,]       0       0       0       1       0       1       1       1       0
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       1       0       1       0       0       0       0       1       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       1       0       0       0       0       1       0       0
   [8,]       0       0       0       0       1       0       0       1       1
   [9,]       1       1       0       0       0       0       0       0       0
  [10,]       0       0       0       0       1       0       0       0       1
        [,8126] [,8127] [,8128] [,8129] [,8130] [,8131] [,8132] [,8133] [,8134]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       0       1       0       0       0       1       1
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       1       1       0       0       0       0       0       0       0
   [6,]       1       0       1       0       0       0       1       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       1       1       0       0       0       1
   [9,]       1       1       1       0       0       0       0       0       0
  [10,]       1       0       0       0       0       0       1       0       0
        [,8135] [,8136] [,8137] [,8138] [,8139] [,8140] [,8141] [,8142] [,8143]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       1       1       0       0       0       1       0       0
   [3,]       1       0       0       0       0       0       0       0       1
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       0       1       0       1       0       0       0       1
   [7,]       0       0       1       0       0       1       0       1       1
   [8,]       0       0       0       1       0       0       1       0       0
   [9,]       0       0       1       0       0       0       1       0       0
  [10,]       0       1       0       0       0       0       1       0       0
        [,8144] [,8145] [,8146] [,8147] [,8148] [,8149] [,8150] [,8151] [,8152]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       1       0       1       1       0       1       1
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       1       0       0       1       1       0       0       0
   [6,]       0       1       1       0       0       0       0       0       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       1       0       0       0       0       1       0       0       1
  [10,]       0       0       1       1       0       0       0       0       0
        [,8153] [,8154] [,8155] [,8156] [,8157] [,8158] [,8159] [,8160] [,8161]
   [1,]       1       0       0       0       0       0       0       1       1
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       1       0       1       0       1       0       0       1
   [4,]       1       1       0       0       0       0       1       1       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       1       0       0       1
   [7,]       0       0       0       0       0       1       0       1       0
   [8,]       0       0       0       0       0       0       0       1       1
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       1       0       0       1       0       0       0       0
        [,8162] [,8163] [,8164] [,8165] [,8166] [,8167] [,8168] [,8169] [,8170]
   [1,]       0       0       0       1       0       1       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       1       0       1       0       0       0       1
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       1       0       1       0       0       0
   [7,]       1       0       0       1       1       0       0       0       0
   [8,]       0       0       1       0       0       0       0       1       0
   [9,]       0       1       0       1       1       0       0       0       1
  [10,]       0       0       1       0       1       0       0       0       0
        [,8171] [,8172] [,8173] [,8174] [,8175] [,8176] [,8177] [,8178] [,8179]
   [1,]       0       1       0       0       0       0       0       0       1
   [2,]       1       0       0       0       0       0       0       0       1
   [3,]       1       1       0       1       0       1       0       0       0
   [4,]       0       0       0       1       0       0       1       0       0
   [5,]       0       1       0       1       0       0       0       0       0
   [6,]       0       0       0       1       1       1       1       0       0
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       0       0       1       1       1       0       0       0       1
   [9,]       1       1       0       0       0       0       0       0       0
  [10,]       1       0       1       0       1       0       0       0       0
        [,8180] [,8181] [,8182] [,8183] [,8184] [,8185] [,8186] [,8187] [,8188]
   [1,]       1       1       0       0       0       1       0       0       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       1       0       1       0       0       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       1       0       1       1       0       0       1       0       1
   [8,]       0       0       1       1       0       0       0       0       0
   [9,]       0       1       0       1       0       0       0       0       1
  [10,]       1       0       0       0       0       1       1       0       0
        [,8189] [,8190] [,8191] [,8192] [,8193] [,8194] [,8195] [,8196] [,8197]
   [1,]       0       0       0       1       0       0       0       1       1
   [2,]       0       0       0       1       0       0       0       1       1
   [3,]       1       1       0       1       0       1       0       1       0
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       0       0       0       0       0       0       1       1       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       0       0       1       1       0       1       0       0
   [8,]       1       0       0       0       0       0       0       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       1       0       1       0       0       0
        [,8198] [,8199] [,8200] [,8201] [,8202] [,8203] [,8204] [,8205] [,8206]
   [1,]       0       0       1       0       0       1       1       0       1
   [2,]       0       0       0       1       1       1       1       0       0
   [3,]       0       0       0       0       0       1       0       1       1
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       1       1       0       1       0       0       1       1       0
   [6,]       1       1       0       0       0       0       0       0       1
   [7,]       0       0       1       0       0       0       1       0       0
   [8,]       0       1       0       1       0       0       1       0       1
   [9,]       1       0       0       0       0       1       1       0       0
  [10,]       0       1       0       0       0       0       1       0       1
        [,8207] [,8208] [,8209] [,8210] [,8211] [,8212] [,8213] [,8214] [,8215]
   [1,]       0       0       1       0       0       1       1       1       0
   [2,]       0       1       0       1       1       1       0       1       0
   [3,]       0       0       0       1       1       0       0       0       1
   [4,]       1       1       0       0       1       0       1       0       0
   [5,]       0       0       0       0       0       0       0       1       1
   [6,]       0       0       0       0       0       1       0       0       1
   [7,]       0       0       0       1       0       1       0       1       0
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       1       0       1       1       1       0       0       0       1
  [10,]       0       1       0       0       0       1       0       0       0
        [,8216] [,8217] [,8218] [,8219] [,8220] [,8221] [,8222] [,8223] [,8224]
   [1,]       0       1       1       0       0       0       0       1       0
   [2,]       0       1       1       0       0       0       1       1       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       1       0       0       1       0       0
   [5,]       0       0       0       0       1       0       0       1       0
   [6,]       1       0       0       0       1       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       1       0       0       0       0       1       0
   [9,]       0       1       1       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,8225] [,8226] [,8227] [,8228] [,8229] [,8230] [,8231] [,8232] [,8233]
   [1,]       1       1       0       0       0       0       1       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       1
   [4,]       1       0       0       0       0       0       0       0       1
   [5,]       0       0       0       1       1       0       0       0       0
   [6,]       1       0       0       0       0       0       0       0       1
   [7,]       1       0       0       1       1       1       0       0       1
   [8,]       0       0       0       0       1       0       0       0       1
   [9,]       0       0       1       0       1       0       0       0       0
  [10,]       0       0       0       1       1       1       0       0       1
        [,8234] [,8235] [,8236] [,8237] [,8238] [,8239] [,8240] [,8241] [,8242]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       0       1       1       1       0       0       0       0       0
   [3,]       1       1       0       0       0       1       0       1       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       1       1       1       0       1       1       0       0       0
   [6,]       0       0       1       0       1       0       1       0       0
   [7,]       0       1       1       0       0       0       0       1       0
   [8,]       1       0       1       1       0       1       0       1       0
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,8243] [,8244] [,8245] [,8246] [,8247] [,8248] [,8249] [,8250] [,8251]
   [1,]       0       1       0       1       0       0       0       0       0
   [2,]       1       0       0       0       1       0       0       0       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       1       0       1       1       0       0       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       0       1       0       0       0       0       0       1       1
   [8,]       1       0       0       1       0       0       0       0       1
   [9,]       0       0       1       0       0       1       0       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,8252] [,8253] [,8254] [,8255] [,8256] [,8257] [,8258] [,8259] [,8260]
   [1,]       1       0       0       0       1       0       0       0       1
   [2,]       0       1       0       0       0       1       0       0       0
   [3,]       0       1       1       0       0       0       1       0       0
   [4,]       0       0       0       0       1       0       0       1       0
   [5,]       0       0       0       0       0       1       0       0       1
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       1       1       0       0       0       0       0       0
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       1       0       0       0       0       0       1       0       0
  [10,]       0       0       0       0       0       0       1       0       1
        [,8261] [,8262] [,8263] [,8264] [,8265] [,8266] [,8267] [,8268] [,8269]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       1       0       0       0       1       1       0       1       0
   [4,]       0       0       1       0       0       1       0       1       0
   [5,]       1       0       0       1       0       0       0       0       0
   [6,]       0       1       0       0       0       0       1       0       0
   [7,]       0       1       0       0       0       0       0       1       0
   [8,]       1       1       1       0       1       0       0       0       0
   [9,]       1       0       1       1       0       0       0       0       0
  [10,]       0       0       1       0       0       1       1       1       0
        [,8270] [,8271] [,8272] [,8273] [,8274] [,8275] [,8276] [,8277] [,8278]
   [1,]       1       0       1       1       1       1       1       0       1
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       0       1       0       0       0       0       1       1       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       0       0       0       0       1       0       0       1       1
   [6,]       1       0       0       1       0       0       1       0       0
   [7,]       0       0       0       0       1       0       1       0       0
   [8,]       0       1       0       0       1       0       0       0       0
   [9,]       1       1       0       0       0       0       0       0       1
  [10,]       1       1       0       0       0       0       0       1       0
        [,8279] [,8280] [,8281] [,8282] [,8283] [,8284] [,8285] [,8286] [,8287]
   [1,]       0       1       0       0       1       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       0       0       0       0       1       1       1       1
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       1       1       0       0       0       0       0       1
   [7,]       0       0       1       0       1       0       0       0       0
   [8,]       0       1       0       1       0       0       0       1       1
   [9,]       1       0       1       0       0       0       0       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,8288] [,8289] [,8290] [,8291] [,8292] [,8293] [,8294] [,8295] [,8296]
   [1,]       0       0       0       1       0       0       0       1       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       1       0       0       0       1       0       0
   [5,]       1       1       0       0       0       1       0       1       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       1       0       0       1       0       0       0
   [8,]       0       0       0       0       1       1       1       1       1
   [9,]       1       1       0       0       1       0       0       0       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,8297] [,8298] [,8299] [,8300] [,8301] [,8302] [,8303] [,8304] [,8305]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       1
   [4,]       0       0       1       0       0       0       1       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       1       1       0       0       1       0       0       1
   [7,]       0       1       0       0       1       0       0       0       1
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       1       1       0       0       0       0       0       1
  [10,]       0       0       0       0       0       0       1       1       0
        [,8306] [,8307] [,8308] [,8309] [,8310] [,8311] [,8312] [,8313] [,8314]
   [1,]       0       0       1       0       0       1       0       0       1
   [2,]       1       0       1       0       0       0       0       0       0
   [3,]       0       1       0       1       0       1       0       0       0
   [4,]       0       0       1       0       0       0       0       0       1
   [5,]       1       0       0       1       1       0       1       1       0
   [6,]       0       0       0       0       0       0       1       0       1
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       0       1       1       1       1       1       0       1
   [9,]       0       0       0       0       0       0       1       0       1
  [10,]       0       0       1       1       0       1       1       0       0
        [,8315] [,8316] [,8317] [,8318] [,8319] [,8320] [,8321] [,8322] [,8323]
   [1,]       1       0       0       1       0       0       1       0       1
   [2,]       0       0       1       1       0       1       0       1       1
   [3,]       1       0       0       0       0       1       0       0       0
   [4,]       0       0       1       0       0       0       0       0       1
   [5,]       0       0       0       0       0       0       0       1       1
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       1       0       0       0       1       0       0       0
   [8,]       1       0       0       0       0       0       0       1       0
   [9,]       0       0       0       0       1       0       1       0       0
  [10,]       1       1       0       0       0       0       0       0       0
        [,8324] [,8325] [,8326] [,8327] [,8328] [,8329] [,8330] [,8331] [,8332]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       0       0       0       1       0       1       1
   [3,]       0       1       1       0       0       0       1       1       0
   [4,]       0       0       0       0       0       0       0       1       1
   [5,]       0       0       0       1       0       0       1       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       0       1       0       0       0       0       0       0
  [10,]       0       1       0       0       1       1       0       1       1
        [,8333] [,8334] [,8335] [,8336] [,8337] [,8338] [,8339] [,8340] [,8341]
   [1,]       1       0       0       0       1       0       0       0       0
   [2,]       0       1       0       0       0       0       1       0       0
   [3,]       1       1       1       0       0       1       0       0       1
   [4,]       0       0       1       0       0       1       0       0       0
   [5,]       0       0       1       1       1       0       1       0       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       1       0       1       0       1       1       0       0       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       0       0       0       1       0       0       0       1
  [10,]       0       0       1       0       0       0       0       0       1
        [,8342] [,8343] [,8344] [,8345] [,8346] [,8347] [,8348] [,8349] [,8350]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       1       0       0       1       1       1       0       0       1
   [3,]       0       1       0       0       0       0       0       1       0
   [4,]       0       0       1       0       0       1       0       0       1
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       1       0       0       0       0       1       0       1       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       0       1       0       0       0       0       0       0
   [9,]       1       0       1       0       0       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,8351] [,8352] [,8353] [,8354] [,8355] [,8356] [,8357] [,8358] [,8359]
   [1,]       0       0       0       0       0       0       0       1       1
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       1       0       0       0       0       0       1       1       1
   [6,]       1       0       0       0       0       0       0       0       1
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       1       1       0       0       0       0       0       1       1
   [9,]       0       0       0       1       0       1       1       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,8360] [,8361] [,8362] [,8363] [,8364] [,8365] [,8366] [,8367] [,8368]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       0       0       0       1       0       0       1       1
   [3,]       0       1       0       1       1       0       0       1       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       1       0       0       0       1       1       0       0
   [7,]       0       0       0       0       1       0       0       0       1
   [8,]       1       0       1       0       0       0       1       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       1       0       0       0       1       0
        [,8369] [,8370] [,8371] [,8372] [,8373] [,8374] [,8375] [,8376] [,8377]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       1       1       1       0       0       1
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       1       0       1       1       0       1
   [6,]       0       1       0       1       0       0       1       0       1
   [7,]       1       0       0       1       0       0       0       0       0
   [8,]       0       1       0       0       0       1       1       1       0
   [9,]       1       1       0       0       0       0       1       0       1
  [10,]       0       0       0       0       0       0       0       0       1
        [,8378] [,8379] [,8380] [,8381] [,8382] [,8383] [,8384] [,8385] [,8386]
   [1,]       0       0       0       0       1       0       0       1       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       0       0       0       1       0       1       0       0
   [4,]       0       1       0       0       0       0       0       1       1
   [5,]       0       1       0       0       0       1       0       0       1
   [6,]       0       0       1       0       1       1       1       0       0
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       1       1       0       0       1       0       0       0       1
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       1       0       1       1       0       0       0       1       0
        [,8387] [,8388] [,8389] [,8390] [,8391] [,8392] [,8393] [,8394] [,8395]
   [1,]       1       1       1       0       0       0       1       0       0
   [2,]       0       0       0       1       0       0       1       0       0
   [3,]       1       0       1       0       0       0       1       1       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       1       1       0       0       0       0       0
   [8,]       0       0       1       0       0       0       1       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,8396] [,8397] [,8398] [,8399] [,8400] [,8401] [,8402] [,8403] [,8404]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       1       1       1       0       0       0       1       1       1
   [3,]       1       1       0       0       0       1       1       0       0
   [4,]       1       0       0       0       0       0       0       1       0
   [5,]       1       1       0       1       0       0       0       0       0
   [6,]       0       0       1       0       1       0       0       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       1       0       0       0       0       0       0       1
   [9,]       1       0       0       0       1       0       1       0       0
  [10,]       0       1       1       1       1       0       0       0       0
        [,8405] [,8406] [,8407] [,8408] [,8409] [,8410] [,8411] [,8412] [,8413]
   [1,]       0       1       0       0       0       1       0       0       1
   [2,]       0       0       1       1       0       0       0       0       0
   [3,]       1       0       0       0       1       0       1       0       1
   [4,]       0       0       0       0       0       0       0       1       1
   [5,]       0       1       0       0       0       1       0       0       0
   [6,]       0       0       1       1       0       1       0       0       0
   [7,]       1       0       0       0       0       1       0       1       0
   [8,]       0       0       0       0       1       1       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       1       0       1       0       0
        [,8414] [,8415] [,8416] [,8417] [,8418] [,8419] [,8420] [,8421] [,8422]
   [1,]       0       1       1       0       0       0       0       0       1
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       1       0       1       0       0       0       1       0       1
   [4,]       0       1       1       1       0       1       1       0       1
   [5,]       1       1       0       0       0       0       0       0       1
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       1       0       0       0       1       1       0       0       0
   [8,]       1       0       1       0       0       0       0       1       0
   [9,]       1       0       0       0       0       0       0       1       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,8423] [,8424] [,8425] [,8426] [,8427] [,8428] [,8429] [,8430] [,8431]
   [1,]       0       0       0       0       1       0       0       1       1
   [2,]       1       0       0       0       0       0       1       1       0
   [3,]       0       0       0       0       1       1       0       1       0
   [4,]       0       0       1       0       0       1       0       0       1
   [5,]       0       0       0       1       1       0       1       0       0
   [6,]       1       0       1       1       0       1       0       1       0
   [7,]       1       1       0       0       0       0       0       1       0
   [8,]       0       0       0       0       0       0       1       0       1
   [9,]       1       0       0       0       0       0       1       1       0
  [10,]       0       0       1       0       0       0       0       1       0
        [,8432] [,8433] [,8434] [,8435] [,8436] [,8437] [,8438] [,8439] [,8440]
   [1,]       0       0       1       1       0       0       0       0       1
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       1       0       1       0       0       0       0       0
   [4,]       0       0       1       0       0       0       0       1       1
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       0       1       0       1       1       1       0       0       0
   [7,]       1       1       0       0       0       0       1       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       0       0       1       0       0       0       0       1
  [10,]       0       0       0       0       0       0       0       1       0
        [,8441] [,8442] [,8443] [,8444] [,8445] [,8446] [,8447] [,8448] [,8449]
   [1,]       1       0       0       0       0       0       0       0       1
   [2,]       0       0       0       1       1       1       1       0       1
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       0       1       0       1       0       0       0       0       1
   [5,]       0       0       0       1       1       1       0       0       1
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       1       1       1       0       0       1       1       1
   [8,]       1       1       0       0       1       1       1       0       0
   [9,]       1       1       0       0       0       1       0       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,8450] [,8451] [,8452] [,8453] [,8454] [,8455] [,8456] [,8457] [,8458]
   [1,]       0       1       1       0       1       0       1       0       0
   [2,]       0       0       1       1       1       0       0       0       0
   [3,]       1       0       0       0       0       1       0       1       1
   [4,]       1       1       0       0       0       1       0       0       0
   [5,]       1       0       1       0       0       0       1       0       0
   [6,]       0       1       0       0       1       0       0       0       0
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       1       1       0       0       0       0       1       1       0
   [9,]       0       0       0       0       1       1       1       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,8459] [,8460] [,8461] [,8462] [,8463] [,8464] [,8465] [,8466] [,8467]
   [1,]       0       1       1       0       0       0       0       1       0
   [2,]       0       0       0       0       0       1       0       0       1
   [3,]       1       0       0       0       0       1       0       1       0
   [4,]       0       0       1       0       1       0       1       0       0
   [5,]       0       1       0       0       1       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       1       1       0       0       1       1       0
   [8,]       1       0       0       1       0       0       0       1       0
   [9,]       0       1       1       0       0       0       1       0       0
  [10,]       0       0       0       1       0       1       0       0       0
        [,8468] [,8469] [,8470] [,8471] [,8472] [,8473] [,8474] [,8475] [,8476]
   [1,]       0       1       0       0       1       0       1       0       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       1       1       1       0       0       0       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       0       1       0       0       0       1       1       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,8477] [,8478] [,8479] [,8480] [,8481] [,8482] [,8483] [,8484] [,8485]
   [1,]       1       1       0       1       0       1       0       1       0
   [2,]       0       1       1       0       0       0       1       0       1
   [3,]       0       0       0       0       1       1       0       1       0
   [4,]       1       0       0       0       0       1       1       0       0
   [5,]       1       0       0       1       0       0       0       0       0
   [6,]       1       1       1       0       0       0       0       0       0
   [7,]       0       0       1       0       0       0       1       1       0
   [8,]       0       0       1       0       1       1       0       0       0
   [9,]       0       1       0       0       0       0       1       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,8486] [,8487] [,8488] [,8489] [,8490] [,8491] [,8492] [,8493] [,8494]
   [1,]       0       1       1       0       0       0       1       0       0
   [2,]       0       0       1       0       0       1       0       1       0
   [3,]       0       1       0       0       0       1       0       0       0
   [4,]       0       0       1       1       1       1       0       0       0
   [5,]       1       0       1       0       0       0       0       0       0
   [6,]       0       0       0       1       0       0       0       1       0
   [7,]       0       1       1       1       0       0       1       1       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       1       0       0       1       0       1       0       1
        [,8495] [,8496] [,8497] [,8498] [,8499] [,8500] [,8501] [,8502] [,8503]
   [1,]       1       0       0       0       0       0       1       0       1
   [2,]       0       1       0       1       0       0       0       1       1
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       1       0       0       1       0       0       1       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       0       0       1       0       0       0       0       1       1
   [7,]       0       0       0       0       0       1       1       1       0
   [8,]       1       0       0       0       0       0       1       1       1
   [9,]       0       1       1       1       0       0       0       1       1
  [10,]       1       1       0       0       0       0       0       0       0
        [,8504] [,8505] [,8506] [,8507] [,8508] [,8509] [,8510] [,8511] [,8512]
   [1,]       0       1       0       0       1       0       1       0       0
   [2,]       1       0       0       1       1       0       0       0       1
   [3,]       0       0       1       0       1       0       1       0       0
   [4,]       1       0       0       0       0       0       0       0       0
   [5,]       0       1       0       0       0       1       1       1       0
   [6,]       0       1       1       0       0       0       0       1       1
   [7,]       0       0       0       0       0       0       1       1       0
   [8,]       0       1       1       0       0       0       1       0       1
   [9,]       0       0       0       0       0       1       0       1       0
  [10,]       1       1       0       0       1       0       1       0       0
        [,8513] [,8514] [,8515] [,8516] [,8517] [,8518] [,8519] [,8520] [,8521]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       0       0       1       0       0       0       1
   [3,]       0       1       0       0       0       0       1       1       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       1       1       1       0       0       0       0       0
   [7,]       0       0       1       0       0       0       0       0       1
   [8,]       0       1       0       0       1       0       0       0       0
   [9,]       1       1       0       0       0       0       0       0       1
  [10,]       0       1       0       1       0       1       1       1       1
        [,8522] [,8523] [,8524] [,8525] [,8526] [,8527] [,8528] [,8529] [,8530]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       1       0       1       0       1       0       0       0
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       0       0       0       0       0       0       1       1       0
   [6,]       0       1       1       1       0       1       1       0       0
   [7,]       0       0       0       0       1       0       0       1       1
   [8,]       0       1       0       0       0       0       1       0       0
   [9,]       0       0       1       0       0       0       0       0       1
  [10,]       0       0       1       0       0       0       1       0       1
        [,8531] [,8532] [,8533] [,8534] [,8535] [,8536] [,8537] [,8538] [,8539]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       1       0       0       0       1       0       0       1       0
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       0       0       0       0       1       0       1       0       1
   [7,]       1       1       0       0       0       0       0       0       0
   [8,]       0       1       0       0       0       0       0       0       1
   [9,]       1       0       0       0       0       0       0       1       0
  [10,]       0       0       0       0       0       1       0       1       0
        [,8540] [,8541] [,8542] [,8543] [,8544] [,8545] [,8546] [,8547] [,8548]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       1       1       0       0       0
   [3,]       0       0       0       0       1       0       0       1       0
   [4,]       0       0       1       1       0       0       0       0       1
   [5,]       0       1       0       0       0       0       1       0       0
   [6,]       1       0       1       0       0       0       0       1       1
   [7,]       0       0       1       0       0       0       1       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       1       1       1       1       0       1
  [10,]       0       0       0       0       0       0       0       0       1
        [,8549] [,8550] [,8551] [,8552] [,8553] [,8554] [,8555] [,8556] [,8557]
   [1,]       0       0       1       1       0       0       0       0       0
   [2,]       0       0       0       0       0       0       1       1       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       1       1       0       0       0       0       0       0       0
   [5,]       0       0       0       1       0       0       0       1       0
   [6,]       0       1       0       0       0       0       1       0       0
   [7,]       0       1       0       1       0       1       0       0       0
   [8,]       0       0       0       1       0       0       0       0       1
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       1       0       1       1       1       1       0       1
        [,8558] [,8559] [,8560] [,8561] [,8562] [,8563] [,8564] [,8565] [,8566]
   [1,]       1       0       1       1       0       0       0       0       0
   [2,]       0       0       0       1       1       0       1       1       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       0       1       0       0       0       0       0       1
   [5,]       0       1       0       0       1       0       1       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       1       1       0       0       0       0       1       0       0
   [8,]       0       1       0       0       0       0       0       1       1
   [9,]       0       0       0       1       1       1       0       0       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,8567] [,8568] [,8569] [,8570] [,8571] [,8572] [,8573] [,8574] [,8575]
   [1,]       0       0       0       0       1       0       0       1       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       1       0       0       0       1       1       0       0       1
   [6,]       1       0       0       0       0       1       0       0       0
   [7,]       1       1       0       0       0       1       0       0       0
   [8,]       0       0       0       0       1       1       1       0       1
   [9,]       0       1       1       0       0       1       0       0       1
  [10,]       0       0       0       1       1       0       0       0       0
        [,8576] [,8577] [,8578] [,8579] [,8580] [,8581] [,8582] [,8583] [,8584]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       0       0       0       1       0       1       0       1
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       0       1       0       0       1       0       0       0       1
   [6,]       0       0       0       0       0       1       0       0       1
   [7,]       0       0       1       0       0       0       0       0       1
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       0       1       0       0       0       0       1       1       0
  [10,]       0       0       0       0       1       1       0       0       1
        [,8585] [,8586] [,8587] [,8588] [,8589] [,8590] [,8591] [,8592] [,8593]
   [1,]       0       0       0       1       0       1       1       0       0
   [2,]       1       0       0       1       0       1       0       0       0
   [3,]       1       0       0       0       0       1       0       0       0
   [4,]       0       0       0       1       1       1       1       0       0
   [5,]       1       0       1       0       0       1       1       0       0
   [6,]       1       0       1       0       0       1       0       0       0
   [7,]       0       0       0       0       1       0       0       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       1       1       1       0       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,8594] [,8595] [,8596] [,8597] [,8598] [,8599] [,8600] [,8601] [,8602]
   [1,]       0       0       1       0       0       0       1       0       1
   [2,]       0       0       1       0       0       1       1       1       1
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       0       0       0       1       0       0       1       1       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       0       0       1       1       1       0       1       0       0
   [7,]       1       0       0       1       0       1       1       0       1
   [8,]       1       0       0       0       1       0       0       0       0
   [9,]       1       0       0       0       0       1       1       0       0
  [10,]       0       1       0       0       0       0       0       1       1
        [,8603] [,8604] [,8605] [,8606] [,8607] [,8608] [,8609] [,8610] [,8611]
   [1,]       0       0       0       0       0       1       0       0       1
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       1       0       1       1       0       1       1       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       1       0       0       0       0       0       0       1       1
   [7,]       1       0       0       0       0       0       1       0       0
   [8,]       0       1       1       0       1       1       0       0       0
   [9,]       1       0       0       1       1       0       0       0       0
  [10,]       0       0       0       1       1       0       0       0       0
        [,8612] [,8613] [,8614] [,8615] [,8616] [,8617] [,8618] [,8619] [,8620]
   [1,]       1       1       0       0       1       0       1       1       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       1       0       0       0       0       0       1       0
   [4,]       0       1       0       0       0       1       0       0       0
   [5,]       1       0       1       0       1       0       0       0       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       1       1       0       1       0       0       1       0       0
        [,8621] [,8622] [,8623] [,8624] [,8625] [,8626] [,8627] [,8628] [,8629]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       0       1       0       0       1       0       0
   [3,]       0       1       0       1       0       0       0       1       0
   [4,]       1       0       1       0       0       1       0       0       0
   [5,]       0       1       1       1       0       0       0       1       1
   [6,]       0       1       1       1       1       0       0       0       0
   [7,]       1       0       1       1       0       0       0       0       1
   [8,]       0       0       1       0       0       1       1       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       1       1       0       0       0       0       0       0       0
        [,8630] [,8631] [,8632] [,8633] [,8634] [,8635] [,8636] [,8637] [,8638]
   [1,]       1       1       1       0       1       0       1       0       1
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       1       1       0       0       0       0       0       0       1
   [4,]       0       0       0       0       1       0       0       1       1
   [5,]       0       1       0       0       0       1       1       0       1
   [6,]       0       0       0       1       1       1       0       0       0
   [7,]       0       0       1       0       0       1       0       0       0
   [8,]       0       0       0       0       0       0       0       1       1
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       1       1       0       0       1       0       1       1
        [,8639] [,8640] [,8641] [,8642] [,8643] [,8644] [,8645] [,8646] [,8647]
   [1,]       0       0       1       0       0       0       0       1       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       1       0       0       0       1       0       0       1       0
   [4,]       1       1       0       0       0       0       0       0       1
   [5,]       0       0       1       0       0       1       0       0       0
   [6,]       1       0       0       0       1       0       0       0       0
   [7,]       1       0       1       0       1       1       1       0       0
   [8,]       0       0       0       1       0       0       0       1       1
   [9,]       0       1       0       0       0       0       0       0       1
  [10,]       0       0       0       0       1       0       1       0       1
        [,8648] [,8649] [,8650] [,8651] [,8652] [,8653] [,8654] [,8655] [,8656]
   [1,]       0       1       0       1       0       0       0       0       1
   [2,]       0       1       1       1       0       0       1       0       0
   [3,]       1       0       0       1       0       0       0       0       0
   [4,]       0       0       1       0       0       0       0       1       1
   [5,]       0       0       0       0       0       0       1       1       0
   [6,]       1       1       0       1       0       0       0       1       0
   [7,]       0       0       1       1       1       0       0       0       1
   [8,]       0       0       1       0       0       1       1       1       1
   [9,]       0       0       0       0       0       1       1       0       0
  [10,]       0       0       1       1       0       1       0       0       0
        [,8657] [,8658] [,8659] [,8660] [,8661] [,8662] [,8663] [,8664] [,8665]
   [1,]       0       0       0       0       0       1       1       0       0
   [2,]       1       0       0       0       0       1       0       1       1
   [3,]       0       0       0       1       0       0       1       1       0
   [4,]       0       0       0       0       1       0       0       1       0
   [5,]       0       0       0       0       0       1       1       1       0
   [6,]       0       0       0       0       1       0       0       1       1
   [7,]       0       1       0       0       0       0       0       1       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       1       1       0       0       1       0       1       0
        [,8666] [,8667] [,8668] [,8669] [,8670] [,8671] [,8672] [,8673] [,8674]
   [1,]       1       0       0       0       1       0       1       1       0
   [2,]       0       0       0       0       0       1       0       1       1
   [3,]       1       1       0       0       0       0       0       0       0
   [4,]       0       1       1       0       0       0       1       0       0
   [5,]       0       1       0       1       0       0       0       1       0
   [6,]       0       0       0       1       0       0       0       1       0
   [7,]       1       0       1       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       1       0
   [9,]       0       0       1       1       1       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,8675] [,8676] [,8677] [,8678] [,8679] [,8680] [,8681] [,8682] [,8683]
   [1,]       0       1       0       1       0       1       0       0       0
   [2,]       0       0       1       0       0       0       0       0       1
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       1       1       0       0       0       0       0       0
   [5,]       0       1       0       0       1       0       0       0       0
   [6,]       0       0       1       0       1       1       0       0       1
   [7,]       0       1       0       1       0       0       0       1       0
   [8,]       1       1       1       0       1       0       0       0       0
   [9,]       0       0       1       0       0       1       0       1       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,8684] [,8685] [,8686] [,8687] [,8688] [,8689] [,8690] [,8691] [,8692]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       1       0       0       0       0       1       0
   [3,]       0       0       1       0       0       0       0       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       1       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       0       1       1       1       0       0       0       0
   [8,]       0       0       0       1       1       0       0       0       1
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,8693] [,8694] [,8695] [,8696] [,8697] [,8698] [,8699] [,8700] [,8701]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       0       0       0       1       1       0       0       0
   [3,]       0       0       0       0       0       1       0       0       1
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       0       0       1       1       0       1       1
   [6,]       0       0       0       0       1       0       1       0       0
   [7,]       0       0       1       1       0       1       0       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       1       0       1       0       0       0
  [10,]       0       0       1       0       0       1       0       1       0
        [,8702] [,8703] [,8704] [,8705] [,8706] [,8707] [,8708] [,8709] [,8710]
   [1,]       0       0       1       0       1       0       1       1       0
   [2,]       0       1       0       1       1       0       0       0       1
   [3,]       0       0       0       0       0       1       1       0       0
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       0       1       0       1       1       0       0       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       1       1       1       0       0       1       1       0       1
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       1       0       1       0       0       0       1       1       0
        [,8711] [,8712] [,8713] [,8714] [,8715] [,8716] [,8717] [,8718] [,8719]
   [1,]       1       0       0       0       1       1       0       0       0
   [2,]       1       0       0       1       1       0       0       1       0
   [3,]       0       0       0       0       1       0       1       0       0
   [4,]       0       0       0       1       0       0       0       1       0
   [5,]       0       0       0       1       0       1       0       1       0
   [6,]       0       1       0       1       1       1       1       0       0
   [7,]       0       0       1       1       0       1       1       0       0
   [8,]       1       0       1       0       1       0       0       0       0
   [9,]       0       1       0       1       0       1       0       1       1
  [10,]       0       0       0       1       0       0       0       0       1
        [,8720] [,8721] [,8722] [,8723] [,8724] [,8725] [,8726] [,8727] [,8728]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       1       1       0       1       0       0       0       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       1       1       0       0       0       0       0       0
   [5,]       0       0       0       0       1       0       0       1       1
   [6,]       0       0       0       0       1       1       0       0       0
   [7,]       0       0       1       1       0       0       0       0       0
   [8,]       0       0       0       0       1       0       0       1       0
   [9,]       0       0       1       0       1       1       0       0       1
  [10,]       0       0       0       0       1       0       1       0       0
        [,8729] [,8730] [,8731] [,8732] [,8733] [,8734] [,8735] [,8736] [,8737]
   [1,]       0       1       0       0       0       1       1       0       1
   [2,]       0       1       1       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       1       0       0       0       0       0       0       1
   [5,]       0       1       0       0       1       1       0       0       1
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       0       0       0       0       0       1       0       1       0
   [8,]       1       0       0       0       1       0       0       0       0
   [9,]       0       1       0       1       0       0       0       0       0
  [10,]       0       0       0       0       1       0       1       1       0
        [,8738] [,8739] [,8740] [,8741] [,8742] [,8743] [,8744] [,8745] [,8746]
   [1,]       0       0       1       0       1       1       0       0       0
   [2,]       1       0       1       0       1       0       0       0       0
   [3,]       1       1       0       0       0       0       0       0       1
   [4,]       0       1       0       0       1       0       1       0       0
   [5,]       0       1       0       0       0       1       0       1       0
   [6,]       0       0       1       0       0       1       1       1       0
   [7,]       1       0       0       0       1       0       0       0       0
   [8,]       0       0       1       0       1       0       0       1       0
   [9,]       0       0       0       1       1       0       0       0       0
  [10,]       1       1       1       0       0       0       0       0       0
        [,8747] [,8748] [,8749] [,8750] [,8751] [,8752] [,8753] [,8754] [,8755]
   [1,]       1       0       0       1       0       1       1       0       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       0       0       1       1       0       0       0       1
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       1       0       0       1       1       0       0       0
   [6,]       1       1       0       0       0       1       0       0       0
   [7,]       1       0       0       0       1       0       1       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       1       0       0       0       0       0       0       1
  [10,]       1       0       0       0       0       0       1       1       0
        [,8756] [,8757] [,8758] [,8759] [,8760] [,8761] [,8762] [,8763] [,8764]
   [1,]       1       1       0       0       0       1       0       0       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       1       0       0       0       0       0       0       1
   [4,]       0       0       1       1       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       1       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,8765] [,8766] [,8767] [,8768] [,8769] [,8770] [,8771] [,8772] [,8773]
   [1,]       1       0       0       0       0       1       0       0       1
   [2,]       0       0       0       1       1       1       0       0       0
   [3,]       0       0       1       1       1       0       0       1       0
   [4,]       1       0       0       1       0       0       1       0       0
   [5,]       0       0       1       0       0       1       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       1       1       1       0       0       1
   [8,]       0       0       1       0       0       0       0       1       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,8774] [,8775] [,8776] [,8777] [,8778] [,8779] [,8780] [,8781] [,8782]
   [1,]       1       0       0       1       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       0       0       0       0       0       1
   [4,]       1       0       0       0       0       1       1       0       1
   [5,]       0       0       0       1       0       1       0       0       1
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       1       1       0       0       1       0       0       1
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       0       0       0       0       0       0       1       1
  [10,]       1       0       0       0       0       0       0       0       0
        [,8783] [,8784] [,8785] [,8786] [,8787] [,8788] [,8789] [,8790] [,8791]
   [1,]       0       1       0       0       0       1       0       0       1
   [2,]       1       1       1       0       0       0       0       0       0
   [3,]       0       1       1       0       0       0       0       0       0
   [4,]       0       0       0       0       1       0       0       1       0
   [5,]       1       0       0       0       1       0       1       1       1
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       1       0       0       0       0       0
   [9,]       0       0       0       0       1       0       0       0       0
  [10,]       0       0       1       1       0       1       0       0       0
        [,8792] [,8793] [,8794] [,8795] [,8796] [,8797] [,8798] [,8799] [,8800]
   [1,]       0       0       1       0       0       0       1       1       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       1       0       1       0       1       1       0       0       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       1       0       1       0       0       1       0       0       1
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,8801] [,8802] [,8803] [,8804] [,8805] [,8806] [,8807] [,8808] [,8809]
   [1,]       0       0       0       0       1       0       1       0       0
   [2,]       0       0       0       0       0       0       0       1       1
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       1       0       0       0       0       0       1       0
   [5,]       1       0       0       0       0       1       0       0       0
   [6,]       0       0       0       1       0       0       0       1       0
   [7,]       0       0       0       0       1       1       0       0       1
   [8,]       1       0       0       0       1       0       0       0       0
   [9,]       1       0       1       0       0       0       0       0       1
  [10,]       1       0       0       0       0       0       0       0       1
        [,8810] [,8811] [,8812] [,8813] [,8814] [,8815] [,8816] [,8817] [,8818]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       0       1       0       0       0       1       1       0
   [6,]       1       0       0       0       1       1       0       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       1       0       0       0       0       0       0       0       1
  [10,]       0       0       1       1       1       0       0       1       0
        [,8819] [,8820] [,8821] [,8822] [,8823] [,8824] [,8825] [,8826] [,8827]
   [1,]       1       0       0       0       1       1       0       1       0
   [2,]       1       0       0       0       1       0       1       1       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       1       1       0       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       0       0       1       0       1       1       0       1
   [8,]       0       0       0       0       1       0       1       0       0
   [9,]       0       0       0       0       0       0       1       1       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,8828] [,8829] [,8830] [,8831] [,8832] [,8833] [,8834] [,8835] [,8836]
   [1,]       1       0       0       0       0       1       1       0       0
   [2,]       0       0       1       0       1       0       0       0       1
   [3,]       0       1       0       0       0       0       0       1       0
   [4,]       0       1       0       0       0       0       1       1       1
   [5,]       0       1       1       0       0       0       1       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       1       1       1       1       0       1       0
   [8,]       0       1       0       0       1       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       1       0       1       0       1       1       0       1
        [,8837] [,8838] [,8839] [,8840] [,8841] [,8842] [,8843] [,8844] [,8845]
   [1,]       0       1       1       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       0       0       1
   [3,]       1       1       0       0       0       0       0       0       1
   [4,]       1       1       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       1       0       0       1       1       1       0
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       1       0       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,8846] [,8847] [,8848] [,8849] [,8850] [,8851] [,8852] [,8853] [,8854]
   [1,]       0       0       0       1       0       1       0       0       1
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       1       0       0       0       0       1       0       0
   [4,]       1       1       0       0       0       0       0       0       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       0       0       0       0       0       1       1       1
   [7,]       0       1       0       0       0       0       0       0       1
   [8,]       0       0       0       0       1       1       0       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,8855] [,8856] [,8857] [,8858] [,8859] [,8860] [,8861] [,8862] [,8863]
   [1,]       0       1       1       0       0       0       1       0       0
   [2,]       0       0       1       0       1       0       1       1       1
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       0       0       0       1       0       1       0       0
   [5,]       0       0       0       0       0       1       1       1       0
   [6,]       0       0       0       0       0       1       0       1       0
   [7,]       1       0       1       0       1       1       0       0       0
   [8,]       0       0       1       1       0       0       1       0       0
   [9,]       0       1       0       0       0       0       1       1       1
  [10,]       1       1       0       1       0       0       1       0       0
        [,8864] [,8865] [,8866] [,8867] [,8868] [,8869] [,8870] [,8871] [,8872]
   [1,]       0       0       1       0       0       1       1       0       0
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       1       0       0       1       1       1       0       0       0
   [4,]       0       0       0       1       1       1       0       0       0
   [5,]       1       1       0       0       0       0       0       0       0
   [6,]       0       0       0       0       1       0       1       0       0
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       1       0       0       0       0       0       0       0       0
   [9,]       1       0       0       0       0       0       1       1       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,8873] [,8874] [,8875] [,8876] [,8877] [,8878] [,8879] [,8880] [,8881]
   [1,]       0       1       1       1       0       1       0       0       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       1       1       0       1       0       1       0
   [5,]       0       1       0       0       1       0       0       0       1
   [6,]       0       0       0       1       0       1       1       1       1
   [7,]       0       0       0       0       0       1       0       1       1
   [8,]       0       0       0       0       1       0       0       1       0
   [9,]       0       1       1       0       1       0       1       0       0
  [10,]       0       0       0       1       0       0       1       0       1
        [,8882] [,8883] [,8884] [,8885] [,8886] [,8887] [,8888] [,8889] [,8890]
   [1,]       1       0       0       1       1       0       1       0       1
   [2,]       0       0       0       0       1       1       0       0       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       1       1       0       1       0       0       1       0
   [6,]       0       0       0       0       0       1       0       1       1
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       1       0       0       0       0       0       0       1       1
        [,8891] [,8892] [,8893] [,8894] [,8895] [,8896] [,8897] [,8898] [,8899]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       0       0       0       1       1       0       1
   [3,]       0       1       1       0       0       0       0       1       0
   [4,]       0       1       0       1       1       0       0       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       1       0       0       0       0       0       1       0       0
   [7,]       1       0       0       1       1       0       0       1       0
   [8,]       0       0       0       0       1       1       0       0       0
   [9,]       0       0       0       1       0       1       1       0       0
  [10,]       0       0       0       0       0       0       1       1       0
        [,8900] [,8901] [,8902] [,8903] [,8904] [,8905] [,8906] [,8907] [,8908]
   [1,]       0       0       1       0       1       0       0       0       1
   [2,]       0       0       0       1       1       0       1       0       1
   [3,]       0       0       0       0       1       0       1       0       0
   [4,]       0       0       0       0       0       0       0       1       0
   [5,]       0       1       0       0       0       0       0       0       1
   [6,]       1       0       0       0       0       1       0       1       0
   [7,]       1       0       1       1       1       0       0       1       0
   [8,]       0       1       1       0       0       1       0       0       0
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       0       0       0       1       1       0       0       0       1
        [,8909] [,8910] [,8911] [,8912] [,8913] [,8914] [,8915] [,8916] [,8917]
   [1,]       0       0       0       1       1       0       0       0       1
   [2,]       0       0       0       0       1       1       0       1       0
   [3,]       1       0       0       1       0       0       0       0       1
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       1       0       1       0       1       0       1       0       0
   [6,]       0       0       0       0       0       0       1       1       0
   [7,]       0       0       0       0       0       0       0       1       1
   [8,]       1       0       0       0       1       1       0       0       0
   [9,]       0       1       0       0       0       0       1       0       0
  [10,]       0       0       0       0       0       0       0       1       0
        [,8918] [,8919] [,8920] [,8921] [,8922] [,8923] [,8924] [,8925] [,8926]
   [1,]       0       0       0       0       0       1       1       0       0
   [2,]       0       0       1       0       0       0       1       1       0
   [3,]       1       1       1       0       0       0       1       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       1       0       1       0       0       0       0       0
   [7,]       1       0       1       0       0       1       0       0       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       0       1       1       0       1       0       0       0
  [10,]       0       0       0       1       0       0       0       0       1
        [,8927] [,8928] [,8929] [,8930] [,8931] [,8932] [,8933] [,8934] [,8935]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       1       1       1       0       1       0       0
   [3,]       0       1       1       0       1       1       1       0       1
   [4,]       0       0       0       1       0       0       1       0       0
   [5,]       1       1       0       0       0       0       0       1       0
   [6,]       0       0       0       0       1       0       1       0       0
   [7,]       1       0       1       0       0       0       0       0       0
   [8,]       1       0       0       1       1       0       0       1       0
   [9,]       0       1       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,8936] [,8937] [,8938] [,8939] [,8940] [,8941] [,8942] [,8943] [,8944]
   [1,]       0       1       0       1       0       0       0       0       1
   [2,]       0       0       1       1       0       1       1       1       0
   [3,]       0       0       0       1       0       0       0       0       1
   [4,]       0       0       0       1       0       0       1       0       1
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       1       0       1       0       0       0       1       0       0
   [7,]       1       1       0       1       0       0       0       0       0
   [8,]       0       0       1       0       1       0       0       0       0
   [9,]       0       0       0       0       1       0       1       0       0
  [10,]       0       0       0       0       0       0       0       1       1
        [,8945] [,8946] [,8947] [,8948] [,8949] [,8950] [,8951] [,8952] [,8953]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       1       0       0
   [3,]       1       1       0       0       0       0       1       0       0
   [4,]       0       1       0       1       0       0       1       0       0
   [5,]       0       0       0       0       0       1       1       0       0
   [6,]       0       1       0       0       0       1       0       0       1
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       1       0       0       1       1       0       0       1       0
   [9,]       1       0       1       1       0       0       0       0       1
  [10,]       0       1       0       0       0       0       0       1       0
        [,8954] [,8955] [,8956] [,8957] [,8958] [,8959] [,8960] [,8961] [,8962]
   [1,]       0       0       1       0       0       1       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       1       0       1       0       0       0       1       0       0
   [5,]       1       0       0       1       0       0       0       0       0
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       0       0       1       0       1       0       0       0       0
   [8,]       0       0       1       0       0       1       1       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,8963] [,8964] [,8965] [,8966] [,8967] [,8968] [,8969] [,8970] [,8971]
   [1,]       0       0       0       1       0       0       0       1       0
   [2,]       1       0       0       0       1       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       0       1       0       0       0       0       1       0       0
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       1       1       0       1       0       0       0       1       0
   [7,]       0       1       0       0       0       1       0       0       0
   [8,]       0       0       0       0       1       0       1       0       0
   [9,]       1       1       0       0       0       0       0       0       0
  [10,]       0       1       0       1       0       0       0       0       0
        [,8972] [,8973] [,8974] [,8975] [,8976] [,8977] [,8978] [,8979] [,8980]
   [1,]       1       1       0       1       0       1       0       0       1
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       0       0       1       1       0       0       0       0       1
   [5,]       0       0       1       1       1       0       0       0       1
   [6,]       0       1       1       1       1       0       0       0       1
   [7,]       0       0       1       0       0       0       0       0       0
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,8981] [,8982] [,8983] [,8984] [,8985] [,8986] [,8987] [,8988] [,8989]
   [1,]       0       0       0       1       0       1       0       0       0
   [2,]       1       0       0       0       1       0       0       0       1
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       1       1       0       1       1       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       0       0       0       1       1       0       1       0       1
   [8,]       1       1       0       0       1       1       0       0       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       0       0       0       1       0       1       0       0
        [,8990] [,8991] [,8992] [,8993] [,8994] [,8995] [,8996] [,8997] [,8998]
   [1,]       0       0       1       0       0       1       0       0       0
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       1       0       0       0       0       1       0       1
   [4,]       0       0       0       1       1       1       0       0       0
   [5,]       0       0       0       0       0       1       1       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       0       0       1       0       0       0       0
   [9,]       1       0       0       0       0       1       0       0       0
  [10,]       1       0       1       0       0       1       1       0       0
        [,8999] [,9000] [,9001] [,9002] [,9003] [,9004] [,9005] [,9006] [,9007]
   [1,]       0       0       1       0       0       1       0       1       0
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       1       0       1       0       1       0       1
   [4,]       0       1       0       0       0       0       1       1       0
   [5,]       0       0       0       1       1       0       1       0       1
   [6,]       0       0       1       0       0       0       0       0       1
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       0       1       0       0       0       1       0       0       1
   [9,]       0       1       1       0       1       0       1       0       0
  [10,]       0       0       1       1       0       0       1       0       0
        [,9008] [,9009] [,9010] [,9011] [,9012] [,9013] [,9014] [,9015] [,9016]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       0       0       0       1       1       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       1       0       0       0       0       0       1       0       0
   [7,]       0       0       0       0       1       1       0       0       1
   [8,]       0       0       0       0       1       1       1       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       1       1
        [,9017] [,9018] [,9019] [,9020] [,9021] [,9022] [,9023] [,9024] [,9025]
   [1,]       1       0       0       0       0       0       0       0       1
   [2,]       0       0       1       1       1       0       0       0       0
   [3,]       1       0       1       0       0       0       1       0       0
   [4,]       0       0       1       0       0       0       0       1       0
   [5,]       0       1       1       1       0       1       1       0       0
   [6,]       0       0       0       1       0       0       1       0       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       1       0       0       0       1
   [9,]       0       1       1       1       0       0       1       0       0
  [10,]       1       0       1       1       0       1       0       0       1
        [,9026] [,9027] [,9028] [,9029] [,9030] [,9031] [,9032] [,9033] [,9034]
   [1,]       0       0       0       1       0       0       0       1       1
   [2,]       1       0       0       0       1       0       0       0       1
   [3,]       1       0       0       1       0       0       0       1       1
   [4,]       1       1       0       0       0       1       1       0       1
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       1       0       0       0       1       0       1       0       0
   [7,]       1       0       0       0       0       0       0       1       1
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       1       1       0
        [,9035] [,9036] [,9037] [,9038] [,9039] [,9040] [,9041] [,9042] [,9043]
   [1,]       0       1       0       0       0       1       0       0       0
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       1       0       0       0       0       0       1       1       0
   [4,]       0       0       1       0       1       1       0       0       1
   [5,]       0       0       0       0       0       0       0       1       1
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       1       1       0       0       1       0       0
   [8,]       1       1       0       0       0       1       0       0       1
   [9,]       0       0       0       0       0       1       0       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,9044] [,9045] [,9046] [,9047] [,9048] [,9049] [,9050] [,9051] [,9052]
   [1,]       1       1       0       0       0       0       0       0       0
   [2,]       0       0       1       0       0       1       0       0       0
   [3,]       0       0       0       1       0       0       0       1       1
   [4,]       0       1       1       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       1       0       1       1       0       0       1       0
   [8,]       0       1       0       0       0       0       1       0       1
   [9,]       1       0       1       0       0       1       0       0       1
  [10,]       0       0       1       0       0       0       0       1       0
        [,9053] [,9054] [,9055] [,9056] [,9057] [,9058] [,9059] [,9060] [,9061]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       1       0       1       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       1       0       1       1       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       0       0       1       0       0       1       0       0
   [7,]       1       0       0       1       0       0       0       0       1
   [8,]       0       0       1       1       1       1       0       0       0
   [9,]       1       1       0       0       0       1       0       0       1
  [10,]       0       0       0       1       0       0       0       1       0
        [,9062] [,9063] [,9064] [,9065] [,9066] [,9067] [,9068] [,9069] [,9070]
   [1,]       0       0       1       0       0       0       1       0       0
   [2,]       0       0       1       0       1       1       1       0       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       0       0       0       0
   [6,]       1       0       0       0       1       0       0       1       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       1       1       0       0       0       1       0       0
   [9,]       0       0       1       0       0       0       0       0       1
  [10,]       1       0       0       0       0       0       1       1       1
        [,9071] [,9072] [,9073] [,9074] [,9075] [,9076] [,9077] [,9078] [,9079]
   [1,]       1       0       1       0       1       0       0       0       0
   [2,]       1       0       0       0       0       0       0       1       1
   [3,]       0       1       0       1       0       1       0       0       0
   [4,]       0       0       0       0       0       0       0       0       1
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       1       0       1       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       1       0       1       0       0       0       1       0
        [,9080] [,9081] [,9082] [,9083] [,9084] [,9085] [,9086] [,9087] [,9088]
   [1,]       0       1       1       0       1       0       0       1       1
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       0       0       0       0       0       1       0       1       1
   [4,]       0       0       1       1       0       0       1       1       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       1       1       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,9089] [,9090] [,9091] [,9092] [,9093] [,9094] [,9095] [,9096] [,9097]
   [1,]       0       0       0       0       1       0       1       0       1
   [2,]       0       0       0       0       1       0       1       0       1
   [3,]       0       1       0       1       0       0       0       1       1
   [4,]       0       0       0       1       1       1       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       1       1       0       0       1       0       0
   [8,]       1       0       1       0       1       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,9098] [,9099] [,9100] [,9101] [,9102] [,9103] [,9104] [,9105] [,9106]
   [1,]       0       1       0       0       0       1       0       0       0
   [2,]       0       0       0       1       1       0       1       0       1
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       1       1       0       1       1       0       0       0       0
   [6,]       1       0       0       0       0       0       0       0       1
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       1       0       0       0       0       1       1       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,9107] [,9108] [,9109] [,9110] [,9111] [,9112] [,9113] [,9114] [,9115]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       0       0       0       1       0       1       0       0       0
   [3,]       0       0       0       1       1       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       1       1       0       0       0       0       0       0       0
   [7,]       0       1       0       1       0       0       1       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       1       1       1       0
        [,9116] [,9117] [,9118] [,9119] [,9120] [,9121] [,9122] [,9123] [,9124]
   [1,]       0       1       0       0       0       1       0       1       0
   [2,]       1       0       0       1       0       0       1       0       1
   [3,]       0       1       0       1       0       0       0       1       0
   [4,]       1       0       0       0       1       0       0       0       0
   [5,]       0       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       0       1       0       0       0       0       0       0       1
   [8,]       0       0       0       0       1       1       0       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,9125] [,9126] [,9127] [,9128] [,9129] [,9130] [,9131] [,9132] [,9133]
   [1,]       0       0       0       0       1       0       0       0       1
   [2,]       0       1       0       0       1       0       1       1       0
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       0       1       1       0       0       1       1       0       1
   [5,]       1       0       0       1       0       0       1       0       0
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       1       0       0       1       0       1       0       0
   [8,]       0       0       0       1       1       0       1       0       1
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,9134] [,9135] [,9136] [,9137] [,9138] [,9139] [,9140] [,9141] [,9142]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       1       0       0       0
   [3,]       0       0       0       0       1       0       1       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       0       0       0       1       1       0       1
   [6,]       0       0       0       0       0       1       1       0       0
   [7,]       1       0       1       1       0       0       0       0       0
   [8,]       0       0       1       0       1       0       0       0       0
   [9,]       0       1       0       0       1       0       1       0       1
  [10,]       1       0       0       1       1       0       0       0       1
        [,9143] [,9144] [,9145] [,9146] [,9147] [,9148] [,9149] [,9150] [,9151]
   [1,]       0       0       1       0       0       1       0       1       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       1       0       0       1       1       0       0       1       1
   [4,]       1       0       0       0       1       0       0       1       0
   [5,]       0       0       0       1       0       0       1       0       0
   [6,]       1       1       0       0       0       1       1       0       0
   [7,]       0       1       0       0       0       0       0       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       0       0       0       1       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,9152] [,9153] [,9154] [,9155] [,9156] [,9157] [,9158] [,9159] [,9160]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       1       0       1       0       0       0       1       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       1       1       0       0       0       0       0       0       0
   [7,]       1       0       0       0       0       1       1       1       0
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       1       0       0       0       1       1       0       0       0
  [10,]       0       0       0       0       0       1       0       0       0
        [,9161] [,9162] [,9163] [,9164] [,9165] [,9166] [,9167] [,9168] [,9169]
   [1,]       1       0       0       0       0       0       0       0       0
   [2,]       0       1       0       0       0       0       0       0       1
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       0       0       1       0       1       0       0       0
   [5,]       0       0       0       0       0       0       0       1       1
   [6,]       0       1       0       0       0       0       1       0       0
   [7,]       0       0       0       1       0       0       0       0       1
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       0       1       0       0       0       1       0       0
  [10,]       0       0       1       0       1       1       0       0       0
        [,9170] [,9171] [,9172] [,9173] [,9174] [,9175] [,9176] [,9177] [,9178]
   [1,]       0       1       0       1       0       0       0       0       0
   [2,]       0       0       0       0       0       0       1       0       0
   [3,]       0       1       0       0       0       1       0       0       1
   [4,]       1       0       1       1       0       0       0       0       1
   [5,]       0       1       0       1       0       0       0       0       1
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       1       0       1       0       0       0       0       0
   [8,]       1       0       0       1       0       1       0       0       0
   [9,]       0       1       0       1       1       0       0       0       0
  [10,]       0       0       1       0       0       0       0       0       0
        [,9179] [,9180] [,9181] [,9182] [,9183] [,9184] [,9185] [,9186] [,9187]
   [1,]       1       0       1       0       1       0       1       0       0
   [2,]       0       0       0       0       0       1       1       0       1
   [3,]       0       0       1       0       0       0       0       0       1
   [4,]       1       0       1       1       1       1       0       0       1
   [5,]       0       0       0       0       1       1       0       1       1
   [6,]       0       0       0       1       0       1       1       1       0
   [7,]       1       1       1       1       1       0       0       1       0
   [8,]       0       0       0       1       1       0       0       1       1
   [9,]       0       1       1       0       0       0       0       1       0
  [10,]       0       0       0       1       1       1       0       0       1
        [,9188] [,9189] [,9190] [,9191] [,9192] [,9193] [,9194] [,9195] [,9196]
   [1,]       0       0       1       0       1       0       1       1       0
   [2,]       0       0       0       0       1       1       1       1       0
   [3,]       0       0       1       1       1       0       1       1       0
   [4,]       0       0       0       1       1       0       0       1       1
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       1       0       0       1       0       0       0       0       0
   [7,]       1       0       0       0       1       0       1       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       1       0       0       0       1       0       0       0       0
  [10,]       0       1       1       1       1       0       0       0       0
        [,9197] [,9198] [,9199] [,9200] [,9201] [,9202] [,9203] [,9204] [,9205]
   [1,]       0       0       0       0       0       0       1       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       1       1       1       0
   [4,]       0       0       1       0       1       0       1       1       0
   [5,]       0       1       0       0       0       0       0       0       1
   [6,]       0       1       0       0       0       1       0       0       0
   [7,]       0       1       0       0       0       0       0       0       1
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       1       0       0       1       1       1       0       1       0
  [10,]       0       1       0       0       1       0       1       0       0
        [,9206] [,9207] [,9208] [,9209] [,9210] [,9211] [,9212] [,9213] [,9214]
   [1,]       1       0       1       0       1       1       0       0       0
   [2,]       0       0       0       0       1       0       0       0       1
   [3,]       0       0       0       1       0       1       0       1       1
   [4,]       0       1       0       1       0       0       0       0       0
   [5,]       1       1       0       1       0       0       1       1       0
   [6,]       1       0       0       0       0       1       0       1       0
   [7,]       0       0       0       1       0       0       1       0       0
   [8,]       0       0       0       1       0       1       0       0       1
   [9,]       0       1       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,9215] [,9216] [,9217] [,9218] [,9219] [,9220] [,9221] [,9222] [,9223]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       1       0       1       1       1
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       0       0       0       1       1       0       1       0       0
   [5,]       1       0       1       0       0       0       0       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       0       0       1       1       0       1       1       0
   [8,]       0       0       1       1       1       0       0       0       0
   [9,]       1       0       0       0       0       1       1       1       1
  [10,]       0       0       1       0       0       0       1       0       1
        [,9224] [,9225] [,9226] [,9227] [,9228] [,9229] [,9230] [,9231] [,9232]
   [1,]       0       1       0       0       0       0       0       0       1
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       0       1       0       1       0       1       1       1       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       1       0       1       0       0       1       0       0
   [6,]       0       0       1       0       1       0       1       1       1
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       0       1       0       0       0       1       0
  [10,]       0       1       0       0       0       0       0       0       0
        [,9233] [,9234] [,9235] [,9236] [,9237] [,9238] [,9239] [,9240] [,9241]
   [1,]       1       0       1       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       0       1       1
   [3,]       0       0       0       1       1       0       1       1       1
   [4,]       1       0       0       1       0       0       0       1       0
   [5,]       0       0       1       0       0       0       0       0       1
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       1       0       0       0       0       1       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       1       1       1       0       0       1       0       0       0
        [,9242] [,9243] [,9244] [,9245] [,9246] [,9247] [,9248] [,9249] [,9250]
   [1,]       0       1       0       1       0       1       0       0       0
   [2,]       1       0       1       0       0       0       0       0       0
   [3,]       0       0       0       0       1       1       0       0       0
   [4,]       0       0       0       1       0       0       1       0       1
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       1       0       0       0       0       0       1       0       0
   [8,]       0       0       1       1       1       0       0       0       0
   [9,]       0       0       1       0       0       1       0       1       0
  [10,]       1       0       0       0       1       1       1       0       0
        [,9251] [,9252] [,9253] [,9254] [,9255] [,9256] [,9257] [,9258] [,9259]
   [1,]       0       0       0       0       0       0       1       1       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       0       0       0       1       0       0       1       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       0       1       0       0       0       1       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       1       0       0       0       0       0       1
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       1       1       1       0       0       0       1
        [,9260] [,9261] [,9262] [,9263] [,9264] [,9265] [,9266] [,9267] [,9268]
   [1,]       1       0       0       0       1       0       1       1       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       0       0       0       0       0       0       1       0       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       1       0       0       1       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       1
   [9,]       0       1       1       0       0       0       1       0       0
  [10,]       1       0       0       1       0       0       1       0       1
        [,9269] [,9270] [,9271] [,9272] [,9273] [,9274] [,9275] [,9276] [,9277]
   [1,]       0       0       1       1       0       0       1       1       0
   [2,]       0       0       1       0       1       0       0       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       1       0       0       1
   [6,]       0       0       0       0       0       1       0       1       1
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       1       1       0       0       0       0       1       0       0
  [10,]       0       0       0       0       1       1       0       0       1
        [,9278] [,9279] [,9280] [,9281] [,9282] [,9283] [,9284] [,9285] [,9286]
   [1,]       0       0       0       0       0       1       0       0       0
   [2,]       1       0       1       0       0       0       0       0       1
   [3,]       0       0       0       0       0       0       0       1       0
   [4,]       0       0       0       1       0       1       0       0       1
   [5,]       0       1       0       1       0       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       0       0       0       1       0       0       0       0
   [8,]       0       0       1       1       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       1       0       0       0       0       0       0       0
        [,9287] [,9288] [,9289] [,9290] [,9291] [,9292] [,9293] [,9294] [,9295]
   [1,]       0       1       0       0       1       0       0       1       1
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       0       1       0       0       0       0       1       0
   [4,]       0       1       0       0       0       1       0       0       0
   [5,]       1       0       0       0       0       0       1       0       0
   [6,]       1       1       0       0       0       0       0       0       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       0       1       0       0       0       1       0       0       0
   [9,]       0       1       0       1       0       0       0       0       0
  [10,]       1       1       0       0       0       0       0       0       1
        [,9296] [,9297] [,9298] [,9299] [,9300] [,9301] [,9302] [,9303] [,9304]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       1       1       1       0       0       0       0
   [3,]       0       1       0       0       0       1       0       1       0
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       0       0       1       1       0       0       0       1
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       0       0       0       0       1       0       0       0
   [8,]       1       0       1       1       1       1       0       0       1
   [9,]       1       1       0       0       0       0       0       0       1
  [10,]       0       1       1       0       0       1       0       1       1
        [,9305] [,9306] [,9307] [,9308] [,9309] [,9310] [,9311] [,9312] [,9313]
   [1,]       0       1       0       0       1       0       0       0       1
   [2,]       1       0       0       0       0       0       0       0       1
   [3,]       0       0       1       0       0       0       0       0       0
   [4,]       0       1       0       1       0       1       1       0       0
   [5,]       0       0       0       1       0       0       0       1       0
   [6,]       0       0       1       1       0       0       0       0       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       0       1       0       0       1       0       0       0
   [9,]       0       0       0       0       0       0       0       1       1
  [10,]       0       1       1       0       0       0       0       0       0
        [,9314] [,9315] [,9316] [,9317] [,9318] [,9319] [,9320] [,9321] [,9322]
   [1,]       0       0       1       0       0       0       0       0       0
   [2,]       0       0       1       0       0       0       0       0       1
   [3,]       0       0       0       0       1       0       1       0       0
   [4,]       0       0       0       0       1       0       0       0       0
   [5,]       1       0       0       1       0       0       0       0       0
   [6,]       0       0       1       0       1       0       0       0       0
   [7,]       0       0       0       0       0       1       0       0       1
   [8,]       0       0       0       1       0       0       0       1       1
   [9,]       0       0       1       0       0       1       1       0       0
  [10,]       1       0       1       0       0       0       1       0       1
        [,9323] [,9324] [,9325] [,9326] [,9327] [,9328] [,9329] [,9330] [,9331]
   [1,]       0       0       1       1       1       0       1       0       0
   [2,]       1       0       1       1       0       0       0       0       1
   [3,]       0       1       1       0       0       0       0       0       0
   [4,]       0       0       0       0       1       0       0       1       0
   [5,]       0       0       0       1       1       0       0       0       0
   [6,]       1       1       0       0       0       0       0       0       0
   [7,]       0       0       1       1       0       1       0       0       1
   [8,]       0       1       1       0       1       0       0       0       1
   [9,]       0       0       0       1       1       1       0       1       1
  [10,]       0       0       0       1       0       0       0       0       0
        [,9332] [,9333] [,9334] [,9335] [,9336] [,9337] [,9338] [,9339] [,9340]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       1       1       0       1       0       0       0       1
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       1       0       1       0       0       0       0       0       0
   [5,]       1       1       1       0       0       1       0       1       0
   [6,]       0       0       1       1       1       0       1       0       0
   [7,]       0       0       0       0       1       0       0       1       0
   [8,]       1       0       0       0       0       1       0       0       1
   [9,]       1       0       0       0       0       1       0       1       0
  [10,]       0       0       0       0       1       0       1       0       0
        [,9341] [,9342] [,9343] [,9344] [,9345] [,9346] [,9347] [,9348] [,9349]
   [1,]       0       0       0       1       0       0       0       0       1
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       1       0       0       0       0       1       1       1       0
   [4,]       0       0       0       0       1       0       0       1       0
   [5,]       0       0       0       0       1       1       0       1       0
   [6,]       0       1       0       1       0       1       0       0       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       0       0       0       0       1       0
  [10,]       1       0       0       0       0       0       1       0       0
        [,9350] [,9351] [,9352] [,9353] [,9354] [,9355] [,9356] [,9357] [,9358]
   [1,]       0       1       0       0       0       0       0       0       0
   [2,]       0       1       0       0       1       0       0       0       0
   [3,]       1       0       1       0       0       1       1       0       0
   [4,]       0       0       0       0       0       1       0       1       1
   [5,]       1       0       0       1       0       0       0       0       0
   [6,]       0       0       0       0       1       0       1       0       0
   [7,]       1       1       0       0       0       1       0       0       0
   [8,]       0       0       1       0       1       1       0       0       0
   [9,]       0       0       0       0       0       1       0       0       1
  [10,]       0       0       0       0       1       0       1       0       0
        [,9359] [,9360] [,9361] [,9362] [,9363] [,9364] [,9365] [,9366] [,9367]
   [1,]       0       0       1       1       0       0       1       0       1
   [2,]       0       0       1       0       0       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       1
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       0       0       0       0       0       1       0       1       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       1       1       0       1       0       0       0       0       0
   [8,]       0       0       0       0       0       1       0       0       0
   [9,]       0       1       1       1       0       0       1       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,9368] [,9369] [,9370] [,9371] [,9372] [,9373] [,9374] [,9375] [,9376]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       1       1       1       0       0       0
   [3,]       1       1       0       0       0       0       0       0       0
   [4,]       1       0       0       1       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       0       0       1       0       1       1       1
   [8,]       0       0       1       0       1       0       0       1       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       1       0       0       1       1       0       0       0
        [,9377] [,9378] [,9379] [,9380] [,9381] [,9382] [,9383] [,9384] [,9385]
   [1,]       0       1       1       0       0       1       0       0       1
   [2,]       0       1       0       1       1       0       0       0       1
   [3,]       1       0       1       0       0       0       0       0       0
   [4,]       0       0       1       0       1       1       0       0       0
   [5,]       1       0       0       0       0       1       0       0       0
   [6,]       0       0       1       1       0       0       0       0       0
   [7,]       1       0       0       0       0       0       0       0       1
   [8,]       0       0       1       0       1       1       0       1       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       0       0       1       0       0       0       0
        [,9386] [,9387] [,9388] [,9389] [,9390] [,9391] [,9392] [,9393] [,9394]
   [1,]       0       1       0       0       0       1       0       1       1
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       1       0       1       1       0       0       0       0       0
   [7,]       1       0       1       0       1       0       0       0       1
   [8,]       0       1       1       0       1       1       1       1       0
   [9,]       0       0       0       0       0       1       1       0       1
  [10,]       1       1       0       0       1       1       0       0       0
        [,9395] [,9396] [,9397] [,9398] [,9399] [,9400] [,9401] [,9402] [,9403]
   [1,]       0       0       0       1       0       1       1       0       0
   [2,]       0       0       1       0       0       1       0       0       0
   [3,]       0       0       0       0       0       0       0       0       0
   [4,]       0       0       1       1       0       0       1       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       0       0       0       1       0       0       0       0
   [7,]       0       0       0       1       1       0       0       0       1
   [8,]       0       0       0       0       1       0       0       1       0
   [9,]       1       0       0       0       1       1       0       0       0
  [10,]       0       1       0       0       1       0       0       0       1
        [,9404] [,9405] [,9406] [,9407] [,9408] [,9409] [,9410] [,9411] [,9412]
   [1,]       0       1       1       0       0       1       0       0       1
   [2,]       0       1       0       0       1       0       0       1       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       0       1       0       0       0       0       1       0
   [5,]       0       1       0       0       0       1       0       1       0
   [6,]       1       0       0       1       0       0       0       1       0
   [7,]       1       0       1       1       0       0       1       0       1
   [8,]       0       1       1       0       0       1       0       1       1
   [9,]       1       0       0       0       1       1       0       0       0
  [10,]       0       0       1       0       1       1       0       0       0
        [,9413] [,9414] [,9415] [,9416] [,9417] [,9418] [,9419] [,9420] [,9421]
   [1,]       1       1       0       0       1       0       0       0       0
   [2,]       1       1       0       0       0       1       0       1       0
   [3,]       1       0       0       0       0       0       0       1       0
   [4,]       1       0       0       0       0       0       1       0       1
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       1       0       0       0       0       0       0       1       0
   [7,]       1       0       0       0       0       0       0       1       0
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,9422] [,9423] [,9424] [,9425] [,9426] [,9427] [,9428] [,9429] [,9430]
   [1,]       0       0       0       0       0       1       1       0       0
   [2,]       0       0       0       0       1       0       1       0       0
   [3,]       0       0       0       0       0       0       1       0       1
   [4,]       0       1       1       0       0       0       0       0       1
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       0       0       0       0       0       1       0       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       1       1       0       1       0       1       1       0       0
  [10,]       0       1       0       0       1       1       0       0       0
        [,9431] [,9432] [,9433] [,9434] [,9435] [,9436] [,9437] [,9438] [,9439]
   [1,]       1       1       0       0       1       0       0       1       1
   [2,]       0       0       0       0       0       1       1       1       1
   [3,]       1       0       1       1       1       0       1       0       0
   [4,]       0       1       1       1       1       0       0       0       0
   [5,]       1       0       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       0       0       1       0       1       0
   [9,]       0       1       0       1       0       1       0       1       0
  [10,]       0       0       0       0       1       0       1       1       0
        [,9440] [,9441] [,9442] [,9443] [,9444] [,9445] [,9446] [,9447] [,9448]
   [1,]       0       1       1       0       0       0       0       0       1
   [2,]       1       0       0       1       1       1       0       0       0
   [3,]       0       0       0       1       0       0       0       0       0
   [4,]       0       0       0       0       0       1       0       1       0
   [5,]       0       0       0       1       0       1       0       1       1
   [6,]       0       0       0       0       0       0       0       1       1
   [7,]       0       1       1       0       0       0       0       0       0
   [8,]       1       0       0       0       1       1       0       0       0
   [9,]       1       0       0       0       1       0       0       1       0
  [10,]       0       0       0       0       0       0       1       1       0
        [,9449] [,9450] [,9451] [,9452] [,9453] [,9454] [,9455] [,9456] [,9457]
   [1,]       1       1       0       0       0       0       0       0       0
   [2,]       1       0       0       1       1       0       0       0       1
   [3,]       0       1       0       0       0       0       0       1       0
   [4,]       0       1       0       0       0       0       1       0       0
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       1       0       1       0       1       0       1       0       0
   [7,]       1       1       1       0       1       0       0       0       0
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       1       1       0       0       1
        [,9458] [,9459] [,9460] [,9461] [,9462] [,9463] [,9464] [,9465] [,9466]
   [1,]       0       1       0       0       0       0       0       1       0
   [2,]       0       0       0       1       0       0       1       0       1
   [3,]       0       0       0       0       1       1       1       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       1       0       0       0       1       0       0
   [6,]       0       1       1       0       0       1       0       1       0
   [7,]       0       0       0       1       0       0       1       0       0
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       0       0       0       0       0       1       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,9467] [,9468] [,9469] [,9470] [,9471] [,9472] [,9473] [,9474] [,9475]
   [1,]       1       0       0       0       1       1       0       0       1
   [2,]       1       0       1       0       0       0       0       1       0
   [3,]       1       0       1       0       0       0       0       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       1       0       0       1       0       1       0
   [6,]       0       1       0       1       0       0       0       0       0
   [7,]       0       1       0       1       0       0       1       0       0
   [8,]       1       0       1       1       1       0       0       0       0
   [9,]       1       0       0       0       0       1       1       0       1
  [10,]       0       0       1       0       1       1       0       0       0
        [,9476] [,9477] [,9478] [,9479] [,9480] [,9481] [,9482] [,9483] [,9484]
   [1,]       0       0       0       0       1       0       1       0       0
   [2,]       0       0       1       0       0       1       0       0       0
   [3,]       0       0       0       1       1       1       0       1       0
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       1       0       0       1       0       1       0       1       1
   [6,]       1       0       0       1       1       1       0       1       0
   [7,]       0       0       0       0       0       1       0       0       0
   [8,]       0       0       0       0       0       1       0       0       1
   [9,]       0       1       0       0       0       1       0       0       0
  [10,]       0       0       0       0       0       0       0       0       1
        [,9485] [,9486] [,9487] [,9488] [,9489] [,9490] [,9491] [,9492] [,9493]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       0       1       0       0       0       1       0       1
   [3,]       1       0       0       0       1       0       0       0       0
   [4,]       1       0       1       0       0       0       1       0       1
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       0       1       0       0       0       0       0       0
   [7,]       0       0       0       0       0       1       1       0       1
   [8,]       0       0       0       0       0       0       1       0       1
   [9,]       0       1       0       0       0       0       0       1       1
  [10,]       0       0       0       0       0       1       0       1       1
        [,9494] [,9495] [,9496] [,9497] [,9498] [,9499] [,9500] [,9501] [,9502]
   [1,]       0       0       1       0       0       1       0       0       1
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       0       1       0       0       0       0       1       0
   [4,]       0       0       0       0       0       1       0       0       0
   [5,]       0       0       0       0       1       0       0       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       0       0       1       1       0       0       0       1       1
   [8,]       0       0       1       0       0       0       1       0       0
   [9,]       0       0       0       0       1       0       0       0       1
  [10,]       0       1       0       0       0       0       0       0       0
        [,9503] [,9504] [,9505] [,9506] [,9507] [,9508] [,9509] [,9510] [,9511]
   [1,]       1       0       0       1       1       0       0       0       0
   [2,]       1       1       0       0       0       0       1       0       1
   [3,]       0       0       0       1       0       0       1       0       0
   [4,]       0       0       0       1       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       1       0       1       1       0       0       0       1
   [7,]       1       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       1       0       0       1       0       0       1       1
  [10,]       1       0       0       1       0       0       0       0       0
        [,9512] [,9513] [,9514] [,9515] [,9516] [,9517] [,9518] [,9519] [,9520]
   [1,]       0       0       0       0       0       1       0       0       1
   [2,]       0       0       0       0       1       0       0       0       1
   [3,]       1       1       0       0       0       1       0       0       1
   [4,]       0       0       1       0       0       0       1       0       0
   [5,]       1       0       0       0       1       0       0       0       1
   [6,]       0       1       0       0       0       0       1       1       0
   [7,]       0       0       0       1       0       0       0       0       0
   [8,]       0       0       0       1       1       0       1       0       0
   [9,]       1       0       0       0       1       1       0       0       0
  [10,]       1       0       0       0       0       0       0       0       0
        [,9521] [,9522] [,9523] [,9524] [,9525] [,9526] [,9527] [,9528] [,9529]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       1       0       0       0       1       1
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       0       0       1       0       1       0       0       0       0
   [5,]       0       0       1       0       1       0       0       0       0
   [6,]       0       0       0       0       0       0       0       1       0
   [7,]       1       1       0       0       0       1       0       0       0
   [8,]       0       0       0       1       0       1       0       0       0
   [9,]       0       0       1       1       1       1       0       0       0
  [10,]       0       0       1       0       0       1       1       0       0
        [,9530] [,9531] [,9532] [,9533] [,9534] [,9535] [,9536] [,9537] [,9538]
   [1,]       1       0       0       1       0       1       1       0       1
   [2,]       1       0       0       1       0       0       0       0       1
   [3,]       0       0       0       1       0       0       1       1       0
   [4,]       0       0       0       0       1       1       0       0       0
   [5,]       0       0       0       0       0       1       0       0       0
   [6,]       1       0       0       0       0       1       0       0       0
   [7,]       0       0       0       0       0       0       0       0       1
   [8,]       1       1       1       0       1       0       0       1       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       0       0       1       0       0       0       0       1
        [,9539] [,9540] [,9541] [,9542] [,9543] [,9544] [,9545] [,9546] [,9547]
   [1,]       0       0       0       0       0       0       0       0       1
   [2,]       0       1       0       0       1       1       0       0       0
   [3,]       1       0       0       0       1       1       1       0       0
   [4,]       0       0       0       1       0       0       1       0       0
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       0       0       1       1       0       0       1       1
   [7,]       0       1       1       0       1       1       0       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       1       0       0       0       0       1       0       1
  [10,]       0       1       0       1       1       0       0       0       0
        [,9548] [,9549] [,9550] [,9551] [,9552] [,9553] [,9554] [,9555] [,9556]
   [1,]       0       1       0       1       1       0       0       0       0
   [2,]       1       1       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       0       0       0       1       0       0       0       0       1
   [5,]       0       0       0       0       1       1       0       0       0
   [6,]       1       0       0       0       0       0       0       1       1
   [7,]       1       1       0       0       0       0       1       1       0
   [8,]       0       1       0       1       0       0       0       1       0
   [9,]       0       0       1       1       0       0       0       0       0
  [10,]       1       1       1       0       1       0       1       0       1
        [,9557] [,9558] [,9559] [,9560] [,9561] [,9562] [,9563] [,9564] [,9565]
   [1,]       0       0       1       0       0       1       0       1       0
   [2,]       1       0       0       1       0       0       0       0       0
   [3,]       0       0       0       0       1       0       0       0       1
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       1       1       0       1
   [6,]       0       1       1       0       0       0       0       0       1
   [7,]       1       0       0       1       0       1       0       0       0
   [8,]       0       0       0       0       0       0       1       0       0
   [9,]       0       1       0       1       0       0       1       0       0
  [10,]       1       0       1       0       0       0       1       0       1
        [,9566] [,9567] [,9568] [,9569] [,9570] [,9571] [,9572] [,9573] [,9574]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       1       0       1       0       0       1
   [3,]       0       0       0       1       0       1       1       0       0
   [4,]       0       0       0       1       0       1       0       0       1
   [5,]       0       0       1       0       0       0       0       0       0
   [6,]       0       1       0       0       0       1       1       1       0
   [7,]       0       1       0       0       0       0       0       0       1
   [8,]       0       0       0       0       0       0       0       0       0
   [9,]       0       0       0       1       0       1       0       0       0
  [10,]       1       0       0       0       0       0       0       0       1
        [,9575] [,9576] [,9577] [,9578] [,9579] [,9580] [,9581] [,9582] [,9583]
   [1,]       0       0       0       0       0       0       0       1       0
   [2,]       0       0       0       0       0       0       1       1       0
   [3,]       1       1       1       0       0       1       0       1       0
   [4,]       0       1       1       1       0       0       0       1       0
   [5,]       1       0       0       0       0       1       0       1       1
   [6,]       0       0       0       0       0       1       0       1       1
   [7,]       1       1       0       0       0       0       0       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       0       0       0       1       0       0       1       1       0
  [10,]       0       0       0       0       1       0       0       1       0
        [,9584] [,9585] [,9586] [,9587] [,9588] [,9589] [,9590] [,9591] [,9592]
   [1,]       0       0       0       0       1       1       0       0       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       1       0       1       0       1       0       0       0
   [4,]       0       0       0       1       0       1       0       1       0
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       0       1       0       0       0       0       0       0       0
   [7,]       0       1       1       1       0       1       0       1       1
   [8,]       1       0       0       1       1       1       0       0       0
   [9,]       1       0       1       1       0       1       0       0       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,9593] [,9594] [,9595] [,9596] [,9597] [,9598] [,9599] [,9600] [,9601]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       0       0       0       1       0       0       0       1       0
   [4,]       1       0       0       0       0       0       0       0       1
   [5,]       0       0       1       1       1       0       1       0       0
   [6,]       0       1       1       1       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       1       0
   [8,]       0       1       0       1       0       0       0       1       0
   [9,]       0       0       1       0       0       0       0       0       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,9602] [,9603] [,9604] [,9605] [,9606] [,9607] [,9608] [,9609] [,9610]
   [1,]       0       1       0       0       0       1       0       0       0
   [2,]       0       0       1       0       1       0       0       0       1
   [3,]       0       0       0       1       0       0       1       1       0
   [4,]       1       0       0       0       0       0       0       1       0
   [5,]       1       1       0       0       1       1       0       0       0
   [6,]       0       1       0       0       1       0       0       0       0
   [7,]       0       1       0       1       1       0       0       0       0
   [8,]       0       0       0       0       1       1       0       0       0
   [9,]       0       1       1       0       0       0       0       0       0
  [10,]       0       1       0       0       0       0       0       0       1
        [,9611] [,9612] [,9613] [,9614] [,9615] [,9616] [,9617] [,9618] [,9619]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       0       0       0       0       0       0       0       0       1
   [3,]       0       1       1       1       0       0       0       1       0
   [4,]       0       1       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       0       0       0       1       0       0       0       0       1
   [8,]       0       1       0       1       0       0       0       0       1
   [9,]       0       0       0       0       0       1       0       0       1
  [10,]       0       0       0       0       0       0       1       0       0
        [,9620] [,9621] [,9622] [,9623] [,9624] [,9625] [,9626] [,9627] [,9628]
   [1,]       0       0       0       1       1       0       0       0       0
   [2,]       1       1       0       0       1       0       1       0       0
   [3,]       1       0       1       0       0       0       0       0       0
   [4,]       0       1       0       0       0       1       0       0       1
   [5,]       0       0       1       0       1       0       0       0       0
   [6,]       0       0       1       0       0       0       1       0       0
   [7,]       0       0       1       0       1       0       1       0       0
   [8,]       1       1       1       0       0       1       1       0       0
   [9,]       1       1       0       0       0       0       1       0       0
  [10,]       1       0       0       0       0       0       0       1       0
        [,9629] [,9630] [,9631] [,9632] [,9633] [,9634] [,9635] [,9636] [,9637]
   [1,]       0       0       0       0       1       1       0       0       1
   [2,]       1       0       1       0       0       0       0       0       0
   [3,]       1       0       0       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       1       1       0
   [5,]       0       0       0       0       0       0       0       0       1
   [6,]       0       0       0       1       1       0       1       0       1
   [7,]       0       1       1       0       0       0       1       0       0
   [8,]       0       0       1       0       1       0       0       0       1
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       1       1       1       0       0       0       0       1       0
        [,9638] [,9639] [,9640] [,9641] [,9642] [,9643] [,9644] [,9645] [,9646]
   [1,]       0       0       0       1       1       0       0       0       0
   [2,]       1       0       1       1       0       1       1       0       0
   [3,]       0       0       0       1       1       0       1       0       0
   [4,]       0       0       0       0       0       0       1       0       0
   [5,]       0       1       0       0       0       0       0       1       0
   [6,]       1       0       0       0       0       0       0       1       0
   [7,]       0       0       1       0       0       0       1       1       0
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       0       1       0       0       0       1       0       1
  [10,]       0       0       0       1       1       0       0       0       0
        [,9647] [,9648] [,9649] [,9650] [,9651] [,9652] [,9653] [,9654] [,9655]
   [1,]       0       1       0       1       1       1       0       0       0
   [2,]       0       0       0       0       1       0       0       0       0
   [3,]       1       0       1       0       0       1       0       0       0
   [4,]       0       0       1       1       1       0       0       0       1
   [5,]       1       0       0       0       0       0       1       0       1
   [6,]       0       0       1       1       0       1       0       0       0
   [7,]       1       0       1       0       0       0       0       1       0
   [8,]       1       0       0       1       0       0       1       0       1
   [9,]       0       0       0       0       0       0       0       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,9656] [,9657] [,9658] [,9659] [,9660] [,9661] [,9662] [,9663] [,9664]
   [1,]       1       0       1       0       0       1       0       0       0
   [2,]       1       1       1       0       1       1       0       0       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       0       0       1       0       0       0       1       0       0
   [5,]       1       0       0       0       0       0       1       0       1
   [6,]       1       1       0       1       0       0       0       0       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       1       1       1       0       1       0       0       1       0
   [9,]       1       0       0       1       1       0       0       0       0
  [10,]       0       0       0       0       0       0       1       0       0
        [,9665] [,9666] [,9667] [,9668] [,9669] [,9670] [,9671] [,9672] [,9673]
   [1,]       1       0       0       1       0       0       0       0       0
   [2,]       1       0       1       0       0       1       0       0       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       1       1       0       0       0       1       0       0       1
   [5,]       0       0       1       1       0       1       0       0       0
   [6,]       0       0       0       0       0       1       0       1       0
   [7,]       0       1       0       0       0       0       0       0       1
   [8,]       0       1       0       1       0       0       0       0       0
   [9,]       0       0       0       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,9674] [,9675] [,9676] [,9677] [,9678] [,9679] [,9680] [,9681] [,9682]
   [1,]       0       0       1       0       0       1       0       0       0
   [2,]       1       0       0       0       0       0       0       0       0
   [3,]       0       0       0       0       0       1       1       0       0
   [4,]       1       0       0       0       0       1       1       0       0
   [5,]       1       0       0       0       1       0       0       0       0
   [6,]       0       0       0       0       0       0       0       0       1
   [7,]       0       0       0       1       0       0       0       0       1
   [8,]       0       0       0       0       0       1       0       1       0
   [9,]       0       0       0       0       0       0       0       0       1
  [10,]       0       0       0       0       0       0       0       0       0
        [,9683] [,9684] [,9685] [,9686] [,9687] [,9688] [,9689] [,9690] [,9691]
   [1,]       0       0       0       0       0       0       1       1       1
   [2,]       0       0       0       0       1       0       0       1       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       1       0       0       0       1       1       0       0       0
   [5,]       0       0       1       1       0       0       0       0       0
   [6,]       0       0       0       0       0       1       0       0       0
   [7,]       1       1       0       0       0       1       1       0       0
   [8,]       1       0       0       0       0       0       0       1       0
   [9,]       1       0       0       1       0       0       1       0       0
  [10,]       0       0       0       0       1       0       1       0       0
        [,9692] [,9693] [,9694] [,9695] [,9696] [,9697] [,9698] [,9699] [,9700]
   [1,]       0       0       0       1       0       0       0       0       0
   [2,]       0       0       1       0       0       0       0       0       1
   [3,]       0       0       0       0       0       0       1       0       1
   [4,]       0       1       0       0       0       0       0       1       0
   [5,]       0       0       1       0       0       1       0       1       0
   [6,]       0       0       0       0       0       0       0       0       0
   [7,]       1       0       0       0       0       0       0       0       0
   [8,]       1       1       0       0       0       0       0       0       0
   [9,]       1       0       0       1       1       0       0       1       0
  [10,]       0       1       0       1       0       0       1       0       0
        [,9701] [,9702] [,9703] [,9704] [,9705] [,9706] [,9707] [,9708] [,9709]
   [1,]       1       1       0       0       0       0       0       0       0
   [2,]       0       1       1       0       1       1       1       0       0
   [3,]       1       0       1       0       0       0       0       0       0
   [4,]       0       0       1       0       0       0       0       0       0
   [5,]       0       0       0       0       1       0       0       0       1
   [6,]       0       1       0       0       1       0       1       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       0       0       1       1       0       0       0       0
   [9,]       0       1       0       0       0       0       1       0       0
  [10,]       0       1       0       1       1       0       0       1       0
        [,9710] [,9711] [,9712] [,9713] [,9714] [,9715] [,9716] [,9717] [,9718]
   [1,]       1       0       1       0       0       1       1       1       0
   [2,]       0       0       0       0       0       0       0       0       0
   [3,]       0       1       0       0       1       0       0       1       0
   [4,]       1       0       1       1       1       0       1       1       0
   [5,]       0       0       0       1       0       0       1       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       1       1       1       0       0       0       0       0       0
   [8,]       0       0       0       0       1       0       0       0       0
   [9,]       0       0       0       0       0       0       1       0       1
  [10,]       0       0       0       1       1       0       1       1       0
        [,9719] [,9720] [,9721] [,9722] [,9723] [,9724] [,9725] [,9726] [,9727]
   [1,]       0       1       0       0       0       1       1       0       0
   [2,]       0       0       1       0       1       0       0       0       0
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       1       1       0       0       0       1       0       0       0
   [5,]       0       1       0       0       0       0       0       0       0
   [6,]       1       0       0       0       1       1       0       0       0
   [7,]       0       1       0       0       0       0       0       0       0
   [8,]       0       0       0       1       0       0       1       1       0
   [9,]       0       0       1       0       1       0       1       0       0
  [10,]       0       1       1       1       0       0       1       0       0
        [,9728] [,9729] [,9730] [,9731] [,9732] [,9733] [,9734] [,9735] [,9736]
   [1,]       0       0       0       0       0       0       0       0       0
   [2,]       1       0       1       0       1       0       0       1       0
   [3,]       0       0       0       0       0       0       1       0       0
   [4,]       1       0       0       0       0       1       0       0       0
   [5,]       0       0       0       0       1       1       1       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       0       1       0       0       0       1       1       1       0
   [8,]       1       0       0       1       1       1       0       0       1
   [9,]       1       1       0       0       1       1       0       1       0
  [10,]       0       1       1       1       0       1       1       0       0
        [,9737] [,9738] [,9739] [,9740] [,9741] [,9742] [,9743] [,9744] [,9745]
   [1,]       0       1       1       0       0       0       0       0       1
   [2,]       1       0       0       0       0       1       0       0       1
   [3,]       1       1       1       1       0       0       0       0       0
   [4,]       0       0       0       0       0       1       0       0       1
   [5,]       1       1       1       1       1       1       0       0       0
   [6,]       1       0       0       0       0       0       0       0       0
   [7,]       1       0       1       0       0       0       1       0       0
   [8,]       0       1       0       0       0       0       0       0       0
   [9,]       1       0       0       0       0       0       0       0       0
  [10,]       0       0       1       0       1       0       0       1       0
        [,9746] [,9747] [,9748] [,9749] [,9750] [,9751] [,9752] [,9753] [,9754]
   [1,]       0       0       0       0       0       1       0       1       1
   [2,]       0       1       0       1       0       0       0       1       1
   [3,]       0       0       0       0       0       1       0       0       0
   [4,]       0       0       0       0       0       0       1       1       0
   [5,]       1       0       1       0       0       0       1       0       0
   [6,]       0       1       0       1       0       0       1       0       0
   [7,]       0       0       0       0       0       0       1       0       0
   [8,]       0       0       0       0       0       1       1       0       0
   [9,]       0       0       1       0       0       0       0       0       0
  [10,]       0       0       1       0       1       1       0       0       1
        [,9755] [,9756] [,9757] [,9758] [,9759] [,9760] [,9761] [,9762] [,9763]
   [1,]       1       0       0       0       0       0       0       0       1
   [2,]       0       0       0       0       1       0       1       1       0
   [3,]       1       0       1       0       0       0       1       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       1       0       1       0       1       1       0       0       0
   [6,]       0       0       0       1       0       0       0       0       0
   [7,]       1       0       0       1       0       0       0       0       0
   [8,]       0       0       1       0       1       0       1       0       0
   [9,]       0       1       0       0       0       1       0       0       0
  [10,]       0       1       0       0       1       0       0       0       1
        [,9764] [,9765] [,9766] [,9767] [,9768] [,9769] [,9770] [,9771] [,9772]
   [1,]       0       0       0       1       0       1       1       0       0
   [2,]       0       1       0       0       0       0       0       0       0
   [3,]       0       1       0       1       1       0       1       0       0
   [4,]       0       1       0       0       1       0       0       0       0
   [5,]       0       0       0       0       0       0       0       1       0
   [6,]       0       1       0       1       1       0       0       0       0
   [7,]       0       1       1       0       0       0       0       1       1
   [8,]       1       0       0       1       0       0       0       0       1
   [9,]       1       0       0       0       1       0       0       1       1
  [10,]       0       0       1       0       0       0       0       0       0
        [,9773] [,9774] [,9775] [,9776] [,9777] [,9778] [,9779] [,9780] [,9781]
   [1,]       0       0       1       0       0       0       1       0       0
   [2,]       1       1       0       0       0       0       0       0       0
   [3,]       0       0       0       0       1       0       0       0       0
   [4,]       1       1       0       0       1       1       0       0       0
   [5,]       0       1       0       0       0       0       0       0       0
   [6,]       1       0       0       1       0       0       0       1       0
   [7,]       0       0       0       0       0       0       0       0       0
   [8,]       0       0       0       1       0       1       0       0       0
   [9,]       0       0       0       0       1       1       0       0       0
  [10,]       1       1       1       1       1       0       0       0       0
        [,9782] [,9783] [,9784] [,9785] [,9786] [,9787] [,9788] [,9789] [,9790]
   [1,]       0       0       0       0       1       0       0       1       0
   [2,]       0       1       0       0       1       1       1       0       0
   [3,]       0       1       0       0       1       1       0       0       1
   [4,]       0       0       0       0       0       0       1       1       1
   [5,]       0       0       0       1       0       0       0       0       1
   [6,]       0       1       1       1       0       0       0       0       0
   [7,]       0       0       1       1       0       0       0       0       0
   [8,]       0       0       1       0       1       1       1       1       0
   [9,]       1       0       1       1       0       0       0       0       0
  [10,]       0       0       0       0       0       0       0       0       0
        [,9791] [,9792] [,9793] [,9794] [,9795] [,9796] [,9797] [,9798] [,9799]
   [1,]       0       0       0       0       1       0       0       0       0
   [2,]       0       0       0       1       0       0       0       0       0
   [3,]       0       1       0       0       0       0       0       0       0
   [4,]       1       0       0       1       0       1       1       1       0
   [5,]       1       1       0       0       0       0       0       0       0
   [6,]       0       0       0       0       1       0       0       0       1
   [7,]       1       0       0       0       0       0       0       1       0
   [8,]       1       0       0       1       1       0       0       0       0
   [9,]       1       1       0       1       0       0       0       0       0
  [10,]       0       0       0       0       1       0       0       1       0
        [,9800] [,9801] [,9802] [,9803] [,9804] [,9805] [,9806] [,9807] [,9808]
   [1,]       0       0       1       0       0       1       0       0       1
   [2,]       0       1       0       0       1       0       0       0       1
   [3,]       0       1       1       0       0       0       0       0       0
   [4,]       0       0       0       0       0       0       0       0       0
   [5,]       0       0       0       0       0       0       0       0       0
   [6,]       1       0       1       1       1       0       0       0       0
   [7,]       1       0       1       0       1       0       0       0       0
   [8,]       0       0       1       0       0       0       0       0       0
   [9,]       1       0       0       0       0       1       0       1       0
  [10,]       0       0       0       1       0       0       0       0       0
        [,9809] [,9810] [,9811] [,9812] [,9813]
   [1,]       0       0       1       0       0
   [2,]       0       0       1       0       1
   [3,]       1       1       0       0       0
   [4,]       0       0       0       1       0
   [5,]       0       0       0       0       0
   [6,]       1       0       0       0       0
   [7,]       0       0       0       1       0
   [8,]       0       1       0       1       0
   [9,]       1       0       0       0       0
  [10,]       0       0       0       0       0
 [ reached getOption("max.print") -- omitted 3990 rows ]
Code
# Generate fitted draws directly with brms
fitted_draws <- fitted(
  Diabetes_prior,
  newdata = Imputed_data1,
  summary = FALSE,   # gives all posterior draws instead of summary
  nsamples = 100     # limit to 100 draws
)

# Convert to long format manually
fitted_long <- data.frame(
  BMI = rep(Imputed_data1$BMI, times = 100),
  draw = rep(1:100, each = nrow(Imputed_data1)),
  .value = as.vector(t(fitted_draws))
)

# BMI Plot the fitted lines
ggplot(fitted_long, aes(x = BMI, y = .value, group = draw)) +
  geom_line(size = 0.1, alpha = 0.4) +
  labs(y = "Predicted probability of Diabetes")

Code
# Age

fitted_long <- data.frame(
  Age = rep(Imputed_data1$Age, times = 100),
  draw = rep(1:100, each = nrow(Imputed_data1)),
  .value = as.vector(t(fitted_draws))
)
ggplot(fitted_long, aes(x = Age, y = .value, group = draw)) +
  geom_line(size = 0.1, alpha = 0.4) +
  labs(y = "Predicted probability of Diabetes tomorrow")

Code
fitted_long <- data.frame(
  Race = rep(Imputed_data1$Race, times = 100),
  draw = rep(1:100, each = nrow(Imputed_data1)),
  .value = as.vector(t(fitted_draws))
)
ggplot(fitted_long, aes(x = Race, y = .value, group = draw)) +
  geom_line(size = 0.1, alpha = 0.4) +
  labs(y = "Predicted probability of Diabetes tomorrow")

Code
# Gender
fitted_long <- data.frame(
  Gender = rep(Imputed_data1$Gender, times = 100),
  draw = rep(1:100, each = nrow(Imputed_data1)),
  .value = as.vector(t(fitted_draws))
)
ggplot(fitted_long, aes(x = Gender, y = .value, group = draw)) +
  geom_line(size = 0.1, alpha = 0.4) +
  labs(y = "Predicted probability of Diabetes tomorrow")

Code
fitted_draws <- fitted(
  Diabetes_prior,
  newdata = Imputed_data1,
  summary = FALSE,   # gives all posterior draws instead of summary
  nsamples = 100     # limit to 100 draws
)

# Convert to long format manually
fitted_long <- data.frame(
  Race = rep(Imputed_data1$Race, times = 100),
  draw = rep(1:100, each = nrow(Imputed_data1)),
  .value = as.vector(t(fitted_draws)))
  
  ggplot(fitted_long, aes(x = Race, y = .value, fill = Race)) +
  geom_boxplot(alpha = 0.6) +
  geom_jitter(width = 0.2, alpha = 0.3, size = 1) +
  labs(x = "Race Category", y = "Predicted Probability of Diabetes",
       title = "Predicted Diabetes Probability by Race Category") +
  theme_minimal()

  • We performed Bayesian logistic regression to model the probability of diabetes as a function of age, BMI, gender, and race. -
  • We used Weakly informative normal priors Gosho et al. (2025) on all regression coefficients. Models were fit using four MCMC chains with 2000 iterations each, including 1000 warm-up iterations. Convergence was assessed using Rhat values, effective sample size, and trace plots. Posterior predictive checks were used to evaluate model fit, and coefficients were exponentiated to report odds ratios with 95% credible intervals
    The cluster of points representing the higher probability of diabetes appears to be denser among individuals in the middle to older Age ranges (e.g., roughly from 40 to 80 years old), compared to the younger Age ranges, although diabetes is present even at younger Ages.

Comparing Models

  • Linear regression model on raw data

  • Multivariate logistic regression on imputed dataset (MI + MLR)

  • Bayesian Logistic Regression on imputed data

Conclusion

  • Summarize your key findings.

  • Discuss the implications of your results.

References

Ali, Sakhawat, Rizwana Hussain, Rohaib A Malik, Raheema Amin, and Muhammad N Tariq. 2024. Association of Obesity With Type 2 Diabetes Mellitus: A Hospital-Based Unmatched Case-Control Study.” Cureus 16 (1): 1–7. https://doi.org/10.7759/cureus.52728.
Austin, Peter C., Ian R. White, Douglas S. Lee, and Stef van Buuren. 2021. Missing Data in Clinical Research: A Tutorial on Multiple Imputation.” Canadian Journal of Cardiology 37 (9): 1322–31. https://doi.org/10.1016/j.cjca.2020.11.010.
Buuren, Stef van, and Karin Groothuis-Oudshoorn. 2011. mice: Multivariate Imputation by Chained Equations in R.” Journal of Statistical Software 45 (3): 1–67. https://doi.org/10.18637/jss.v045.i03.
Center for Health Statistics, National. 1999. Vital and Health Statistics Reports Series 2, Number 161, September 2013.” National Health and Nutrition Examination Survey: Analytic Guidelines, 1999–2010. https://wwwn.cdc.gov/nchs/data/series/sr02_161.pdf.
Chatzimichail, Theodora, and Aristides T. Hatjimihail. 2023. A Bayesian Inference Based Computational Tool for Parametric and Nonparametric Medical Diagnosis.” Diagnostics 13 (19). https://doi.org/10.3390/DIAGNOSTICS13193135,.
D’Angelo, Gina, and Di Ran. 2025. Tutorial on Firth’s Logistic Regression Models for Biomarkers in Preclinical Space.” Pharmaceutical Statistics 24 (1): 1–8. https://doi.org/10.1002/pst.2422.
Gosho, Masahiko, Ryota Ishii, Kengo Nagashima, Hisashi Noma, and Kazushi Maruo. 2025. Determining the prior mean in Bayesian logistic regression with sparse data: a nonarbitrary approach.” Journal of the Royal Statistical Society. Series C: Applied Statistics 74 (1): 126–41. https://doi.org/10.1093/jrsssc/qlae048.
Klauenberg, Katy, Gerd Wübbeler, Bodo Mickan, Peter Harris, and Clemens Elster. 2015. A tutorial on Bayesian Normal linear regression.” Metrologia 52 (6): 878–92. https://doi.org/10.1088/0026-1394/52/6/878.
Leeuw, Christiaan de, and Irene Klugkist. 2012. Augmenting Data With Published Results in Bayesian Linear Regression.” Multivariate Behavioral Research 47 (3): 369–91. https://doi.org/10.1080/00273171.2012.673957.
Liu, Yi Ming, Sam Li Sheng Chen, Amy Ming Fang Yen, and Hsiu Hsi Chen. 2013. Individual risk prediction model for incident cardiovascular disease: A Bayesian clinical reasoning approach.” International Journal of Cardiology 167 (5): 2008–12. https://doi.org/10.1016/J.IJCARD.2012.05.016.
Schoot, Rens van de, Sarah Depaoli, Ruth King, Bianca Kramer, Kaspar Märtens, Mahlet G. Tadesse, Marina Vannucci, et al. 2021. Bayesian statistics and modelling.” Nature Reviews Methods Primers 1 (1): 1. https://doi.org/10.1038/s43586-020-00001-2.
Van Buuren, Stef, and Stef Van Buuren. 2012. Flexible Imputation of Missing Data. Vol. 10. CRC press Boca Raton, FL.